SOLUTION: Write the equivalent log equation to: 5^(3x) = 4x-1

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Question 1116082: Write the equivalent log equation to:
5^(3x) = 4x-1
Found 3 solutions by ankor@dixie-net.com, greenestamps, MathTherapy:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Write the equivalent log equation to:
5^(3x) = 4x-1

the log equiv of exponents


they are not asking to solve for x, just the equation

Answer by greenestamps(13216)   (Show Source): You can put this solution on YOUR website!


By the basic definition of logarithms:

is equivalent to

To remember this definition, remember that the log is the exponent.

For your example...

is equivalent to

Note the answer from the other tutor,



is also correct, demonstrating the very useful change-of-base rule for logarithms:
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

Write the equivalent log equation to:
5^(3x) = 4x-1
Converting from this form (EXPONENTIAL) to LOGARITHMIC form makes it simply: 

That's it!! 

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