17^(-2x) = 8^(x+8) write the exact answer using base-10 logarithms.

Answer:     ======    take log base-10 of both sides    use log law  to move the exponents down    distribute  into      move everything with an x to one side so that we can factor it.subtract  from both sides to get    factor out x to get    divide both sides by      can factor out negative from denominator to get a final answer of    of course you can use log laws to simplify the numerator and denominator, but usually that's too much work and teachers do not care about that.