SOLUTION: Goodmorning everyone, can some one help me to evaluate this expression;
log(subscript 8)8^9???
Thanks Ya'll!
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Question 105566This question is from textbook Intermediate Algebra
: Goodmorning everyone, can some one help me to evaluate this expression;
log(subscript 8)8^9???
Thanks Ya'll!
This question is from textbook Intermediate Algebra
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
.
Note that if you solve for y, the answer is equal to
.
One way to solve this equation is to translate it to the exponential form of the logarithm.
The translation uses the relationship that:
.
is equivalent to the exponential form
.
By comparing the log form in the translation to the log form you were given in this problem
you can see that:
.
and
.
Substituting the values on the right side for b, A, and y in the exponential form you
get:
.
.
Looking at this equation, you can see that to make the left side equal to the right side
the exponents have to be equal. In other words, y has to be 9 for the two sides to be
equal. And since y is equal to , then you can say that equals 9.
.
Hope this helps you to understand the problem.
.
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