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Vedmedyk [2.9K]
3 years ago
5

Solving the equation and something to do with log

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

m= 1/2.

Step-by-step explanation:

To solve this, we must make the bases equivalent. We can do this by finding the common base which is 5.

We know that 125= 5³ and 25=5², which will help us in this equation. We can rewrite the equation substituting this for the original numbers:

5^{3(2m)} = 5^{2(m+1)} Distribute the exponents to get:

5^{6m} = 5^{2m+2}

Now, we can simply ignore the '5' and solve for 'm':

6m= 2m+2

4m= 2

m= 1/2.

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