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Does anyone know how to solve this? I tried moving the 3 back to make it log 2 (x^3) but for the second one it would be (5x)^2 and I get stuck there​

Does anyone know how to solve this I tried moving the 3 back to make it log 2 x3 but for the second one it would be 5x2 and I get stuck there class=

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nobleswift

Answer:

x = 100

Step-by-step explanation:

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wegnerkolmp2741o

Answer:

x = 100

Step-by-step explanation:

3 log2(x) - 2 log2(5x) = 2

We know that a log(c) = log c^a

log2(x)^3 - log2(5x)^2 = 2

log2(x^3) - log2(25x^2) = 2

We know that log a - log b = log a/b

log2(x^3 /25x^2) = 2

Simplify

log2(x /25) = 2

Raise each side to  base 2

2^log2(x /25) = 2^2

x/25 = 4

Multiply each side by 25

x = 4*25

x = 100

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