College Algebra

Question

Use the change of base theorem to find an approximation to four decimal places for each logarithm 

 

log₂9

 

log_1/32

 

log_{the square root of 19}5

Answer 1

Let x be the log values for each problem.

 

x = log₂9

 

2^x = 9

 

xlog2 = log9

 

x = log9 / log2

 

 

 

x = log_1/32

 

x = log2 / log(1/3)

 

 

x = log_√(19)5

 

x = log5 / log√(19)