SOLUTION: pls can you help me check my answer.... log(little8)2 i came up with my answer 1/3 am i right

Question 95607: pls can you help me check my answer....
log(little8)2 i came up with my answer 1/3
am i right
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
You are correct.
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You were given:
.

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And you can solve this by converting this problem to the exponential form:
.

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Then you can replace 8 by its equivalent form and you can note that on the
right side that . With these changes the exponential form becomes:
.

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Now by the power rule of exponents you can multiply the exponents on the left side to get:
.

.
Since the base on both sides is equal to 2, for both sides to be equal the exponents
must be equal. So you can say
.

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and solve for y by dividing both sides by 3 to get:
.

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But from up above we said that so you can substitute for
and see that the answer is:
.

.
which is the answer you got, so you did it correctly.
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Good job! Keep up the good work!!!
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