If (64)^2x-5=4×8^x-5. find x
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((2)^6)^(2x-5)=(2^2)(2^3)^(x-5)
2^(6(2x-5))=(2^2)(2)^(3(x-5))
2^(12x-30)=(2^2)2^(3x-15)
(a^m)(a^n)=a^(m+n)
2^(12x-30)=2^(2+3x-15)
comparing exponents on both sides
12x-30=3x-13
9x=17
x=17/9
2^(6(2x-5))=(2^2)(2)^(3(x-5))
2^(12x-30)=(2^2)2^(3x-15)
(a^m)(a^n)=a^(m+n)
2^(12x-30)=2^(2+3x-15)
comparing exponents on both sides
12x-30=3x-13
9x=17
x=17/9
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