Question

solve: 3^4x-7 = 4^2x+3

Answer 1

81x-7 = 16x +3

Answer 2

65x=10

Answer 3

x=10/65 and simplify x=2/13

Answer 4

i think 3^(4x-7)=4^(2x+3)

Answer 5

yeah that's what I meant, I'm new to the website so I didn't know how to input it properly

Answer 6

take logs of both sides,
(4x-7)log3=2(2x+3)log2
=4xlog3-7log3=4xlog2+6log2
collect like terms,
4xlog3-4xlog2=6log2+7log3
4x(log3-log2)=6log2+7log3
therefore,
x=6log2+7log3/4(log3-log2)

Answer 7

x=(6log2+7log3)/(4(log3-log2))

Answer 8

ooops..