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PtichkaEL [24]
2 years ago
9

What is the value of x if 5^x+2=5^9?

Mathematics
1 answer:
Mkey [24]2 years ago
7 0

In this equation, x = 7.


In order to solve this you are going to need to use logarithmic functions. By taking a logarithm you can eliminate exponents.


5^{x + 2}  = 5^{9}


First we're going to take the logarithm of both sides, which allows us to put the exponents in front of the terms.


(x + 2)Log5 = 9Log5


Now that we've done this, we can divide both sides by Log5 and eliminate that term.


x + 2 = 9


From here, we simply need to subtract in order to solve.


x = 7

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or you can try your guesses through what ever equals 1/2 when you add one to the denominator. the answer you are looking for is 2/3

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