# How do you solve #10 ^( 2x+1 )= 50#?

##### 1 Answer

Mar 7, 2016

x =

#### Explanation:

log

log

log (ab) = log a + log b.

log 50 = log 5 + log 10 = log 5 + 1.

Logarithms (of any base ) of expressions on both sides are equal

The convenient choice here is common logarithm.

2 x = log 5..