Question

log3 5x + 6 = 4
I am trying to solve for x

Answer 1

What are your choices?

Answer 2

Solving the equation would be log(3)= exponent 5 sqrt -2.
But i dont know if thats solving for x

Answer 3

Is the log of 5x, or 5x+6?

Answer 4

\[\log_3 (5x+6) = 4\]or \[\log_3(5x)+6=4\]

Answer 5

its log3 (5x+6) = 4

Answer 6

Okay.
\[\log_3 (5x+6) = 4\]That means that \[3^4 = 5x+6\]because \[\log_b u = a\]\[b^a=u\]

Answer 7

also \[b^{\log_b u} = u\]so\[3^{\log_3(5x+6)} = 3^4 = 5x+6\]

Answer 8

okay thank you. with this equation i am receiving an answer of 15

Answer 9

that's correct. if you do the other problem, the answer is \(\dfrac{1}{4
5}\)

Answer 10

thank you