Option D:

Solution:
Given expression is
.
<u>To find the product of the expression:</u>

Multiply each term of the first term with each term of the 2nd term.

Using the exponent rule: 


Arrange the terms with same power.


Hence option D is the correct answer.

<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.
The equation is P= 2w + 2(w+4.1)
The width is 8.2cm