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## Answers

8 to the power of x+2=2 to the power of 4x-3

8^x+2=2^4x-3

2^3(x+2)=2^4x-3

2^3x+6=2^4x-3

if bases are equal then powers also equal,

3x+6=4x-3

4x-3x=6+3

x=9

please pick it as best

2^4x-3

2^3x+6=2^4x-3

bases are equal. exponents must be equal.

3x+6=4x-3

4x-3=3x+6

4x-3x-3-6=0

x-9=0

therefore, x=9