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9) log [3x^3 * 4throot(4 - x) / (4(x + 4)^2)] A) log (3x^3 * 4throot(4 - x)) - log (4(x + 4)^2) B) log 3 + 3log x + 1/4 log (4 - x) - log 4 - 2log (x + 4) C) log 3 + log x^3 + log (4 - x)^1/4 - log 4 - log (x + 4)^2 D) log 3 + 3log x + 1/4 log (4 - x) - log 4 + 2log (x + 4) Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions. 10) 3 log4 2 + 1/6 log4 (r - 3) - 1/2 log4 r A) log4 (8 * 6throot(r - 3) / sqrt(r)) B) log4 (8r - 3 / 12r) C) log4 (1/4 * sqrt(r - 3 / r)) D) log4 sqrt(3r - 9 / 12r) 11) 1/3 [3ln (x + 3) - ln x - ln (x^2 - 3)] A) ln cbrt((x + 3)^3(x^2 - 3) / x) B) ln cbrt((x + 3)^3 / x(x^2 - 3)) C) ln cbrt(3(x + 3) / x(x^2 - 3)) D) ln cbrt(x(x + 3)^3 / (x^2 - 3)) Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places 12) log12 63.2 A) 0.5993 B) 0.7215 C) 1.6686 D) 2.8799 Solve the exponential equation. Express the solution set in terms of natural logarithms. 13) 4^(x + 8) = 7 A) {ln 7 - ln 4 - ln 8} B) {ln 7 / ln 4 - 8} C) {ln 4 / ln 7 + ln 8} D) {ln 4 / ln 7 + 8} 14) 4^(x + 4) = 5^(2x + 5) A) {ln 5 - ln 4} B) {ln [5^5 / 4^4] / ln [4 / 5^2]} C) {7 ln 5 - 5 ln 4} D) {(5 ln 5 - 4 ln 4) / (ln 4 - 2 ln 5)}

          9) log [3x^3 * 4throot(4 - x) / (4(x + 4)^2)]
A) log (3x^3 * 4throot(4 - x)) - log (4(x + 4)^2)
B) log 3 + 3log x + 1/4 log (4 - x) - log 4 - 2log (x + 4)
C) log 3 + log x^3 + log (4 - x)^1/4 - log 4 - log (x + 4)^2
D) log 3 + 3log x + 1/4 log (4 - x) - log 4 + 2log (x + 4)

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
10) 3 log4 2 + 1/6 log4 (r - 3) - 1/2 log4 r
A) log4 (8 * 6throot(r - 3) / sqrt(r))
B) log4 (8r - 3 / 12r)
C) log4 (1/4 * sqrt(r - 3 / r))
D) log4 sqrt(3r - 9 / 12r)

11) 1/3 [3ln (x + 3) - ln x - ln (x^2 - 3)]
A) ln cbrt((x + 3)^3(x^2 - 3) / x)
B) ln cbrt((x + 3)^3 / x(x^2 - 3))
C) ln cbrt(3(x + 3) / x(x^2 - 3))
D) ln cbrt(x(x + 3)^3 / (x^2 - 3))

Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places
12) log12 63.2
A) 0.5993
B) 0.7215
C) 1.6686
D) 2.8799

Solve the exponential equation. Express the solution set in terms of natural logarithms.
13) 4^(x + 8) = 7
A) {ln 7 - ln 4 - ln 8}
B) {ln 7 / ln 4 - 8}
C) {ln 4 / ln 7 + ln 8}
D) {ln 4 / ln 7 + 8}

14) 4^(x + 4) = 5^(2x + 5)
A) {ln 5 - ln 4}
B) {ln [5^5 / 4^4] / ln [4 / 5^2]}
C) {7 ln 5 - 5 ln 4}
D) {(5 ln 5 - 4 ln 4) / (ln 4 - 2 ln 5)}

9) log [3x^3 * 4throot(4 - x) / (4(x + 4)^2)]
A) log (3x^3 * 4throot(4 - x)) - log (4(x + 4)^2)
B) log 3 + 3log x + 1/4 log (4 - x) - log 4 - 2log (x + 4)
C) log 3 + log x^3 + log (4 - x)^1/4 - log 4 - log (x + 4)^2
D) log 3 + 3log x + 1/4 log (4 - x) - log 4 + 2log (x + 4)

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
10) 3 log4 2 + 1/6 log4 (r - 3) - 1/2 log4 r
A) log4 (8 * 6throot(r - 3) / sqrt(r))
B) log4 (8r - 3 / 12r)
C) log4 (1/4 * sqrt(r - 3 / r))
D) log4 sqrt(3r - 9 / 12r)

11) 1/3 [3ln (x + 3) - ln x - ln (x^2 - 3)]
A) ln cbrt((x + 3)^3(x^2 - 3) / x)
B) ln cbrt((x + 3)^3 / x(x^2 - 3))
C) ln cbrt(3(x + 3) / x(x^2 - 3))
D) ln cbrt(x(x + 3)^3 / (x^2 - 3))

Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places
12) log12 63.2
A) 0.5993
B) 0.7215
C) 1.6686
D) 2.8799

Solve the exponential equation. Express the solution set in terms of natural logarithms.
13) 4^(x + 8) = 7
A) ln 7 - ln 4 - ln 8
B) ln 7 / ln 4 - 8
C) ln 4 / ln 7 + ln 8
D) ln 4 / ln 7 + 8

14) 4^(x + 4) = 5^(2x + 5)
A) ln 5 - ln 4
B) ln [5^5 / 4^4] / ln [4 / 5^2]
C) 7 ln 5 - 5 ln 4
D) (5 ln 5 - 4 ln 4) / (ln 4 - 2 ln 5)

Added by Ramon L.

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