SOLUTION: This is the first time my instructor has presented problems written this way. I'm clueless. I would appreciate if someone could show me how to do this one so I can handle the rest.

Question 192060: This is the first time my instructor has presented problems written this way. I'm clueless. I would appreciate if someone could show me how to do this one so I can handle the rest. Thank you
If a is a positive real number, such that a is not equal to 1, and ax = b,
then the logarithmic function is represented as:
A) log a^x b = x
B) loga^b = f(a^x)
C) log b = x= a^x
D) loga^b = x

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If "a" is a real number and , we can isolate "x" by applying the logarithm base 10 to both sides to get .

From there, pull down the exponent "x" to get

Now divide both sides by to get

Combine the terms on the right side (using the change of base formula) to get

So after isolating "x", we get

Note: it turns out that <====> . In other words, we can convert to and from exponential and logarithmic form.
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