SOLUTION: Evaluate the logarithm using the change-of-base formula. Rewrite the logarithm using natural logs, then evaluate on your calculator rounding to 3 decimal places log4(base)12.7

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Question 1183351: Evaluate the logarithm using the change-of-base formula. Rewrite the logarithm using natural logs, then evaluate on your calculator rounding to 3 decimal places
log4(base)12.7
Found 2 solutions by MathLover1, Solver92311:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The natural logarithm of x is generally written as ln+%28x%29, log%28e%2C+x%29, or sometimes, if the base e is implicit, simply log+%28x%29.

log%284%2C12.7%29+
=ln%2812.7%29%2Fln%284%29
=ln%2812.7%29%2F%282log%282%29%29
=1.833

Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


MathLover1's solution to the problem is perfect; I'm only commenting to show you the most universally understood notation for plain text rendering of a logarithm function where the base must be specified:

log_b(x) is the correct way to render .

In general, the underscore character indicates a subscript. If the subscript consists of more than one character, enclose it in curly braces, thus:

x_{10} is understood to mean

In the case of logs or other "spelled out" functions, such as trigonometry functions and their inverses, form the habit of enclosing the argument in parentheses.

log_4 12.7 is understandable, but log_4(12.7) is better.

John

My calculator said it, I believe it, that settles it

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