solve for the x

Question

1.(x+2)log9=log243
 
2. (3x+2)log8=log32
 
3. (2x-3)log7=log50
 
4. (3x+2)log6=log100
 

Answer 1

I shall do the first one as a pattern, then you should try the others.

 

(x + 2)log9 = log243

log9^(x+2) = log243

log(3²)^(x+2) = log3⁵

log3^2x+2 = log3⁵

(2x + 4)log3 = 5log3

2x + 4 = 5

2x = 1

x = 0.5