SOLUTION: Use the Change of Base formula to evaluate {{{ log(4) 20 }}}. Then convert {{{ log(4) 20 }}} to a logarithm in base 3. A) 2.161; {{{ log(3) 15 }}} B) 2.996; {{{ log(3) 10.741

Algebra.Com
Question 308969: Use the Change of Base formula to evaluate . Then convert to a logarithm in base 3.
A) 2.161;
B) 2.996;
C) 1.301;
D) 2.161;

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Use the Change of Base formula to evaluate .
= log(20)/log(4) = 2.1610
---------------------------------------

Then convert to a logarithm in base 3.
2.1610 = log3(x)
x = 3^2.1610
x = 10.741
===========
Cheers,
Stan H.
===============================
A) 2.161;
B) 2.996;
C) 1.301;
D) 2.161;

RELATED QUESTIONS

Use the Change of Base Formula to evaluate log[3] 48. Then convert log[3] 48 to a... (answered by Alan3354)
This one looked easy but it's got me confused please help and thank you. Use the laws of (answered by josmiceli)
use the change of base formula to rewrite each expression using common logarithms. [] (answered by RAY100)
Use the change of base formula and a calculator to evaluate the logarithm. Round your... (answered by josgarithmetic)
evaluate the logarithm. 1. log (base 7) 1/49 write the expression as a single... (answered by nerdybill)
Use log properties to combine the following log expression as a single logarithm.... (answered by lwsshak3)
use change of base formula and calculator to evaluate. round to 3 decimal places... (answered by Abbey)
use the change of base formula to evaluate log6 12. then convert log6 12 to a logarithm... (answered by jsmallt9)
Use the Change of Base Formula to evaluate log5 44. Then convert log5 44 to a logarithm... (answered by lwsshak3)