Question

7^(x - 5) = 7^(4x + 7)

I don't understand how to solve questions with expressions as exponents?

Answer 1

If the bases are same at both sides then the powers are also equal so\[(x-5)=(4x+7)\]\[x-4x=7+5\]\[-3x=12\]\[x=\frac{12}{-3} \implies -4\]

Answer 2

If x^a = x^b, then a = b

Answer 3

Oh, I see. What if the bases are not the same?

Answer 4

then try to make the bases same:)

Answer 5

like\[2^x=4\]\[2^x=2^2\]\[x=2\]

Answer 6

Oh, alright I think I get it now. Thanks :)