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Solve the following exponential equations

Solve the following exponential equations-example-1
User Srekel
by
8.4k points

1 Answer

3 votes

Answer:

x = 2, y = - 25

Explanation:

(1)

note that 36 = 6² , then


6^(x) = 6²

Since bases on both sides are equal then equate the exponents

x = 2

------------------------------------------

(2)

Using the rule of exponents


(a^m)^(n) =
a^(mn)

note that 25 = 5² , then


25^(11+3y) =
(5^2)^(11+3y) =
5^(22+6y)

Then


5^(5y-3) =
5^(22+6y)

Since bases on both sides are equal then equate the exponents

22 + 6y = 5y - 3 ( subtract 5y from both sides )

22 + y = - 3 ( subtract 22 from both sides )

y = - 25

User Netcase
by
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