Mathematics, 26.07.2019 21:00 geometryishard13

What is the solution of the equation 12^4x = 7? round your answer to the nearest ten-thousandth. 5.1080 0.1958 0.9363 3.6481

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Answer from: kmwise19

The correct answer is 0.1958.

Explanation:
We will use a logarithmic equation to solve this.

The base of the exponent, 12, will be the base of the logarithm; the answer, 7, will be what we find the logarithm of.

This gives us the equation
$\log_{12}7=4x$

Finding log base 12 of 7 gives us
0.7831=4x.

Divide both sides by 4:
0.7831/4 = 4x/4
0.1958 = x.

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

Answer from: Quest

it is impossible.

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What is the solution of the equation 12^4x = 7? round your answer to the nearest ten-thousandth. 5...

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