# Math Help - Logarithm problems

1. ## Logarithm problems

Apologies for formatting!

Find x:
log x + log 5 = 1

-> log (x * 5)
-> log 5x
-> 5^x = 1
-> x = 0
I dunno if this is right or not and I don't have any worked examples to help me along.

My main problem is 2 log(base x) 2 = 1/3

Thank you for any help ion advance.

2. Originally Posted by Jamie88
Apologies for formatting!

Find x:
log x + log 5 = 1

-> log (x * 5)
-> log 5x
-> 5^x = 1
-> x = 0
I dunno if this is right or not and I don't have any worked examples to help me along.

My main problem is 2 log(base x) 2 = 1/3
$2log_x2 = \frac{1}{3}$
$log_x2^2=\frac{1}{3}$
$\frac{1}{log_4x}=\frac{1}{3}$
$log_4x = 3$
$x = 4^3$
$x=64$