Question

A question from logarithms

Answer 1

Answer:

Logarithms were developed for making complicated calculations simple .

Example:

2^3=8

So, we can write the same thing as:

log 8 to the base 2=3.

Now ,

there are three standard laws of logarithms .

( You can check it out in the attachment, too.)

1. Product law:

Log mn to the base a= log m to the base a + log n to the base a.

2. Quotient law:

Log m/n to the base a = log m to the base a- log n to the base a.

3. Power law:

Log m raised to the power n to the base a= n log m to the base a.

Now, let's come to the main question:

Step 1:

Simplify Z as shown in the attachment.

Step 2:-

Substitute the values of X ,Y and Z

Step 3:

Now,

apply the laws .

Step 4:

Check out the attachment to get the desired result.