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lyudmila [28]
3 years ago
10

Solve for x. Round to the nearest ten thousandths 4^x=10

Mathematics
1 answer:
Flura [38]3 years ago
8 0

Answer:

1.6610

Step-by-step explanation:

1) To solve for x, isolate it in the equation. Notice that x is an exponent in this equation. To change that, take the logarithm of both sides:

4^x = 10 \\log4^x = log10

2) Now, using the power property of logarithms, bring the x out in front like so:

log4^x = log10\\xlog4 = log 10  

3) Now, to finally isolate x, divide both sides by log4:

xlog4 = log10\\\frac{xlog4}{log4} =\frac{log10}{log4}

x = \frac{log10}{log4}

4) Now, put that found value for x into the calculator. Round the answer to the ten thousandths place, or the fourth digit from the right of the decimal point. This gives the answer 1.6610.

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3 0
3 years ago
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Please Help?!
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4 years ago
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4 years ago
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Answer:

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8 0
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