Question

How do you solve this equation log(3x+1)=5

Answer 1

x = 33333

Explanation:

If you take the left and right-hand side and raise 10 to the power of it, you get:

`10^(log(3x+1)) = 10^5`

Which simplifies to:

`3x+1 = 100000`

Because
`10^(log(x)) = x`

Solving it gives:

3x = 100000 - 1 = 99999

x = 33333

Answer 2

`log_(10) 3x+1=5`

`3x+1=10^5`

`3x+1=100000`

`3x=99999`

`x=333333`

Just remember that in the form of
`log_ab=x`, you get
`a^x=b`.