SOLUTION: Solve: log2(3x + 8) = 5 Which is an equivalent equation?

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Question 1206429: Solve: log2(3x + 8) = 5
Which is an equivalent equation?
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

An equivalent equation is

    3x + 8 = ,

or

    3x + 8 = 32.


It immediately implies that

    x =  =  = 8.


ANSWER.  The solution to the given equation is number 8.

Solved.

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On logarithms and their properties,  see these introductory lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
    - Change of Base Formula for logarithms
    - Evaluate logarithms without using a calculator
    - Simplifying expressions with logarithms
    - Solving logarithmic equations
in this site.

Learn the subject from there.



Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Rule: is equivalent to
b is the base of each

Using that rule we can go from to

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