Question

Use the Laws of Logarithms to combine the expression.\\ $\frac{1}{4}log(x+2)^{4}+\frac{1}{3}[log(x^{6})-log(x^{2}-2x-8)^{3}]$ Submit Answer 4. [-/1 Points] DETAILS SPRECALC7 4.4.014. Use the Laws of Logarithms to evaluate the expression. $\frac{-1}{2}log_{2}(16)$ Submit Answer 5. [-/1 Points] DETAILS SPRECALC7 4.4.034. Use the Laws of Logarithms to expand the expression. $ln(\frac{r}{3s})$ Submit Answer 6. [-/3 Points] DETAILS SPRECALC7 4.5.001. Let's solve the exponential equation $4e^{x}=100$. (a) First, we isolate $e^{x}$ to get the equivalent equation (b) Next, we take $ln$ of each side to get the equivalent equation (c) Now we use a calculator to find $x=$ (Round your answer to three decimal places.)

          Use the Laws of Logarithms to combine the expression.\\
$\frac{1}{4}log(x+2)^{4}+\frac{1}{3}[log(x^{6})-log(x^{2}-2x-8)^{3}]$ 
Submit Answer
4. [-/1 Points]
DETAILS
SPRECALC7 4.4.014.
Use the Laws of Logarithms to evaluate the expression.
$\frac{-1}{2}log_{2}(16)$
Submit Answer
5. [-/1 Points]
DETAILS
SPRECALC7 4.4.034.
Use the Laws of Logarithms to expand the expression.
$ln(\frac{r}{3s})$
Submit Answer
6. [-/3 Points]
DETAILS
SPRECALC7 4.5.001.
Let's solve the exponential equation $4e^{x}=100$.
(a) First, we isolate $e^{x}$ to get the equivalent equation
(b) Next, we take $ln$ of each side to get the equivalent equation
(c) Now we use a calculator to find $x=$
(Round your answer to three decimal places.)

Use the Laws of Logarithms to combine the expression.

(1)/(4)log(x+2)^4+(1)/(3)[log(x^6)-log(x^2-2x-8)^3]
Submit Answer
4. [-/1 Points]
DETAILS
SPRECALC7 4.4.014.
Use the Laws of Logarithms to evaluate the expression.
(-1)/(2)log2(16)
Submit Answer
5. [-/1 Points]
DETAILS
SPRECALC7 4.4.034.
Use the Laws of Logarithms to expand the expression.
ln((r)/(3s))
Submit Answer
6. [-/3 Points]
DETAILS
SPRECALC7 4.5.001.
Let's solve the exponential equation 4e^x=100.
(a) First, we isolate e^x to get the equivalent equation
(b) Next, we take ln of each side to get the equivalent equation
(c) Now we use a calculator to find x=
(Round your answer to three decimal places.)

Added by Ismael A.

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