Question

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

Answer 1

Answer:

x = 33333

Step-by-step 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 $a^x=b$.