Question

MEDAL!!
Solving logarithm equation

Answer 1

problem #4 right?

Answer 2

yes

Answer 3

Alright so move -log4(x-2) to the other side. What do you get?

Answer 4

So you'll get log4(2x+1)=1+log4(x-2)

Then you can use the power rule of logarithms.
log4(x+1)=log4(4^1)+log4(x-2)

So you have same bases. Then you can turn it into an equation
So 2x+1=4(x-2)
Simplifies to: -2x=-9
Solve for x and you'll get x=9/2 as your final answer.

Hope that helps.

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