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2 answers:
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<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is
We have to solve the above expression using change of base formula which is given as
Now, let us first apply logarithm for the given expression.
Then given expression turns into as,
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
we can use formula
we can compare
we get
a=x
b=2
now, we can plug that in formula
and we get
now, we can simplify it
...........Answer