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Please anwser the question fast​

Please anwser the question fast​-example-1

1 Answer

6 votes

Answer:

y=2

Explanation:

Logarithmic Equations

The following equation is given:


log_y 8+ log_y 4=5

Recall the property:
log_b x+lob_b y=log_b (x.y)

Applying:
log_y 32=5

Now recall the definition of the log:

If:


log_b a=x

Then


b^x=a

The equation becomes:


y ^5=32

But 32=2^5, so:


y ^5=2^5

Equating the bases:

y=2

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