Answered

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

A .2.4662

B0.9542
C1.7829
D0.5609

Verified Answer :

wolf1728

53x = 15
x = 15 / 53 =



0.2830188679




Which is not one of the answers.

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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