2^5=32
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y=logx becomes 10^y=x
Take log each side, but most important to take log of 9.7 log(9.7) = 0.9867717343 now by the law of logs 10^0.9867717343 = 9.7 ( so the 10^X = 9.7 is the exponential form )
Find log of 50, this becomes power on base 10, so, 10 1.69897 = 50
Exponential form is ax = b. Logarithmic form is logab = x. For example, 102 = 100 is the same as log10100 = 2. Another example: 53 = 125 is the same as log5125 = 3. If there is no number under the log (for example, log3), the the number is understood to be ten. For example, log8 is the same as log108. A natural log uses the symbol ln. In this case, the number is understood to be e (which equals about 2.718). For example, ln5 is the same as loge5 (which the same as log2.7185).
When X is 1, regardless of the base p.