Usethe change of base formula and common logs or natural logs to appoximate the value of log12(7/8) using a calculator

Question

If the answer is not an integer, enter it as a decimal rounded to the nearest hundredth if needed

Answer 1

Change of base formula (from log base a to log base b):

 

log_a(x) = log_b(x)/log_b(a)

 

To change log₁₂(7/8) to log base 10:

 

Log₁₂(7/8) = log₁₀(7/8)/log₁₀(12)

 

To change log₁₂(7/8) to natural log (ln):

 

Log₁₂(7/8) = ln(7/8)/ln(12)

 

Use your calculator to compute the answer using either (or both) change of base formulations.