SOLUTION: I'm not really sure how to remove the coefficients in the following problem: 2*log2(x) - log2(10) = 3*log2(4)

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Question 375439: I'm not really sure how to remove the coefficients in the following problem:
2*log2(x) - log2(10) = 3*log2(4)
Found 2 solutions by Earlsdon, ewatrrr:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Use the power rule () to simplify.
Add to both sides.
Simplify.
Now apply the product rule () the right side.
Simplify.
Apply the identity rule...If then
Take the square root of both sides.
Approx.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi,

Note: Common properties of logarithms







2*log2(x) - log2(10) = 3*log2(4)

2*log2(x) - log2(10) - 3*log2(4)=0

log2(x^2) - log2(10) - log2(4^3)=0

log2(x^2/10*64)=0



2^0 = x^2/640

1 = x^2/640

640 = x^2

   Note: minus solution is extraneous 

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