I need help with one question: How are exponents and logarithms related? I have dealt with exponents but I have not dealt with logs before. Please help!

Question

blazeryder · Answer

@KJSaif @steve816

kjsaif · Answer

Logarithms reveal the inputs that caused the growth
Exponents find the final result of growth

kjsaif · Answer

Logs and exponents of the same base are inverse functions of one another.  Imagine an exponent machine that takes x as an input as produces ax as an output.  A Log machine would take that ax as an input and produce the original x back as the output.  So the log "undoes" what the exponent does.

kjsaif · Answer

The exponent of a number says how many times
to use the number in a multiplication.

kjsaif · Answer

A Logarithm goes the other way.

It asks the question "what exponent produced this?":

kjsaif · Answer

Logarithms are the "opposite" of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication. Logs "undo" exponentials. Technically speaking, logs are the inverses of exponentials.

blazeryder · Answer

So it is like having x  squared and the square root of x squared? The x-squared would be the exponent, and the square root  x-squared is the log?

kjsaif · Answer

yea in a way :)

blazeryder · Answer

Awesome! Thank you very much! You are a lifesaver =)

kjsaif · Answer

no problem :)