SOLUTION: Please help me with this question. Use properties of logarithms to solve the equation. Make sure to check the validity of your solution: log2 x + log2 3 = 2

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me with this question. Use properties of logarithms to solve the equation. Make sure to check the validity of your solution: log2 x + log2 3 = 2       Log On


   

Question 1049487: Please help me with this question.

Use properties of logarithms to solve the equation. Make sure to check the validity
of your solution:
log2 x + log2 3 = 2

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Please help me with this question.

Use properties of logarithms to solve the equation. Make sure to check the validity
of your solution:
log2 x + log2 3 = 2
log+%282%2C+x%29+%2B+log+%282%2C+3%29+=+2

log+%282%2C+3x%29+=+2 ----- Applying log+%28a%2C+b%29+%2B+log+%28a%2C+c%29+=+log+%28a%2C+bc%29

3x+=+2%5E2 -------- Converting to EXPONENTIAL form

3x = 4

highlight_green%28matrix%281%2C3%2C+x+=+4%2F3%2C+or%2C+1%261%2F3%29%29