Question

How do you solve `\log _ { 8} ( x + 1) = \frac { 2} { 3}`?

Answer 1

See Below

Explanation:

Given
`log_8(x+1)=2/3`
By Logarithmic property `color(blue)(log_ab=c)` can be written as `color(blue)(a^c=b)`
`8^(2/3)=x+1`
then
`x=8^(2/3)-1`
`x=4-1`
`x=3`