SOLUTION: Working of Log 0.8621 to base 12 with detailed explanation

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Question 1210403: Working of Log 0.8621 to base 12 with detailed explanation
Found 3 solutions by MathLover1, ikleyn, Edwin McCravy:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!

Use the change of base formula:

given: to base

in your case ,,

so, you have

≈ ≈

Answer by ikleyn(52915)   (Show Source):
You can put this solution on YOUR website!
.
Working of Log 0.8621 to base 12 with detailed explanation
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        If I understand your writing correctly (it is written in non-standard form for to be a proper Math problem)
        you want (or " they " want you) calculate logarithm of 0.8621 in base 12.

        @MatLover1 interpreted it differently and gave you another answer.

        I will interpret it literally as I wrote it at the beginning of my post.

Use the change of base formula = . Using your standard logarithmic table base 10 or a calculator = -0.064442355, = 1.079181246. THEREFORE, = = = -0.059714117. You may round your final answer in this way = -0.05971 (approximately). <<<---=== ANSWER

Solved.

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In standard Math form, your question should be

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        Find the value of logarithm of 0.8621 base 12 using logarithms base 10.

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Then it sounds unambiguously and does not create any distinct interpretations.

Answer by Edwin McCravy(20065)   (Show Source):
You can put this solution on YOUR website!

Instead of using the memorized change of base formula, I prefer this: a. Let the desired log equal x. b. Use the definition of logarithm to write the equivalent exponential equation. c. Take natural logs of both sides. d. Move the exponent of x in front of the "ln" as a coefficient. e. Solve for x. Edwin