10. Solve the following exponential equation: $7^{x-5} = 12$ A. $x = 12 - \log_7 5$ B. $x = \log_7(12) + 5$ C. $x = \ln(7) + 5$ D. $x = \frac{\log(12)}{7} + 5$ E. $x = \log_7(12) - 5$ F. None of the above
Added by Angelica M.
Close
Step 1
Step 1: Take the natural logarithm of both sides to solve for x: ln(7^(x-5)) = ln(12) Show more…
Show all steps
Your feedback will help us improve your experience
Tony Ni and 93 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Exponential Equations (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator to find an approximation to the solution rounded to six decimal places. $$e^{-5 x}=10$$
Exponential and Logarithmic Functions
Exponential and Logarithmic Equations
Convert to exponential form. 8) log2 1/8 = -3 A) 2^-3 = 1/8 B) 3^2 = 1/8 C) (1/8)^3 = 2 D) 2^8 = 3 Write in logarithmic form. 9) 59,049^1/5 = 9 A) 1/5 = log59,049 9 B) 9 = log1/5 59,049 C) 1/5 = log9 59,049 D) 9 = log59,049 1/5 Use a calculator to evaluate the logarithm. 10) log 125 A) 2.0934 B) 4.8283 C) 2.1004 D) 2.0969
Jessica H.
For the following exercises, rewrite each equation in exponential form. $$\log _{\mathrm{a}}(b)=c$$
Logarithmic Functions
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD