Question

Solve each of the following exponential equations using common bases:

1.) 4^(3x+5)=8^(4x-3)

2.) 9^(2x+3)=〖(1/27)〗^(3x+1)

3.) 4^(x+6)∙8^(x-9)=64

Answer 1

x=19/6, x=-9/13, x=33/4

Explanation:

1) 2^(6x+10)=2^(12x-9), 6x+10=12x-9, x=19/6

2) 3^(4x+6)=3^(-9x-3), 4x+6=-9x-3, x=-9/13

3) 2^(x+6)*2^(3x-27)=2^(6), 4x-27=6, x=33/4