Solve the equation. \log_{4}(3x+2)=\log_{4}5+\log_{4}3

slaggingV

slaggingV

Answered question

2021-09-19

Solve the equation.
log4(3x+2)=log45+log43

Answer & Explanation

dieseisB

dieseisB

Skilled2021-09-20Added 85 answers

Step 1
Given equation:
log4(3x+2)=log45+log43
Step 2
We know that loga(x)+loga(y)=loga(xy)
log4(3x+2)=log4(53)
log4(3x+2)=log4(15)
3x+2=15
Subtract 2 form the both sides
3x+2−2=15−2
3x=13
Divide by 3 to the both sides
3x3=133
x=133

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?