Question

how do you do this equation using logs?
8^x = 10

Answer 1

base of the exponent becomes base of the log, other two numbers are switched

Answer 2

take natural log on both sides
ln8^x=ln10
xln8=ln10
x=ln10/ln8

Answer 3

\[\log_8 10= x\]

Answer 4

\[x=\log_{8}10=\frac{\log10}{\log 8}=\frac{1}{\log8}\]

Answer 5

Its easier with base 10 instead of e

Answer 6

THANK YOU SO MUCH!!!

Answer 7

how do you do 2.4^x ≤ 20 using logs?