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# Module 25

### Study Stack for module 25, math 113, andrea lazarski, online

Use a calculator to find log(38) punch into calculator and round to four decimal points =(approx)1.5798
What is the change of base property? log_ba=log_ca/log_cb
Solve log_53 use the change of base property log3/log5, use a calculator and round to four decimal points log5_3=(approx)0.6826
solve 3^x=7 use the logarithm property of equality log3^x=log7 xlog3=log7 x=log7/log3 approximate to four decimal place =(approx)1.7712
What does log_b^x=y also mean? b^y=x, also known as exponential form
Solve log_6x+log_6(x-9)=2 because the bases are the same you can use the product property. log_6(x^2-9x)=2 then put in exponential form end product is x=12
what does the quotient property refer to? When solving for a log with the same base that are begin subtracted divide the two
what is the first step you do when graphing log_12x? Put in exponential form 12^y=x
Solve ln x=3.1 the find solution, write equation in exponential form x=e^3.1 =approx 22.1980
what is the base of a common logarithm? 10
Created by: megan.m