Hello from MrBillDoesMath!
Answer:
Because logarithms convert exponents to multiplication.
log (a^b) = b * log(a)
Discussion:
For example, it's not easy to solve for x in 10^x = 3 withtout logarithms. With logarithms, take (base 10) log's of both sides:
x * log10 = log3 => as log10 = 1
=> x = log3
so x, former;y an exponent, becomes easy to solve for.
Thank you,
MrB
