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earlxsweatx earlxsweatx
  • 27-07-2016
  • Mathematics
Answered

What is the exact value of x in the exponential equation 2^5x − 57 = 43?

Verified Answer :

erae97
erae97 erae97
  • 27-07-2016

Start by getting the term with the exponent on one side
\(2^{5x}=100\)

take the log of both sides
\(log 2^{5x} =log100\)

There is a log rule that says we can bring down the exponent
\(5xlog2=log100\)

Solve for x
\(5x= \frac{log100}{log2}\)
5x=6.64

answer: x=1.33

Answer Link
5922003859
5922003859 5922003859
  • 19-11-2020

Answer:

The answer according to the test i just took is 2/5log2

Step-by-step explanation:

Answer Link

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