8^n=1/495 <-Fraction Logarithmic -I need help solving for the missing number (n)?

2 Answers

log_8(1/495) = -2.98

Explanation:

Because log_8(495) = 2.98 (to 3 significant figures), by using the inverse logarithmic rule, log_8(1/495) should be -2.98.

Therefore 8^-2.98 = 1/495,
and n = -2.98.

Apr 4, 2018

log_8(1/495)= n
or
log(1/495)/(log8)= n

Explanation:

Steps:
Take the log of both sides
log8^n=log(1/495)

Take the exponent to the front:
nlog8=log(1/495)

Divide by log8
n= log(1/495)/log8

OR
Know that log_b(a)= x
Then b^x=a

So:
log_8(1/495)= n
or
log(1/495)/(log8)= n