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kenny6666 [7]
3 years ago
9

What is the solution of the equation 53x = 15? Round your answer to the nearest ten-thousandth.

Mathematics
2 answers:
eimsori [14]3 years ago
6 0
53x = 15
x = 15 / 53 = <span> <span> <span> 0.2830188679 </span> </span> </span>
Which is not one of the answers.

Svetlanka [38]3 years ago
6 0

Answer:

Option D is correct.

Step-by-step explanation:

Given equation is 5^{3x}=15

we have to find the solution of above equation.

Equation is

5^{3x}=15

Taking log on both sides, we get

log{5^{3x}}=log{15}

As, log{a^b}=bloga

⇒ log{5^{3x}}=log{15}

⇒ 3xlog{5}=log{15}

⇒ x=\frac{log{15}}{3.log{5}}=0.5608687\sim0.5609    

Option D is correct.

                 

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