Question

Solve for x.

logx+log3=log18

Answer 1

the answer is 6

I even toke the test as well.

it is not 6.00001

Explanation:

Answer 2

The value of x in log x + log 3 = log 18 is 6.

Solution:

From question, given that log x + log 3 = log 18 ---- eqn 1

Let us first simplify left hand side in above equation,

We know that log m + log n = log (mn) ----- eqn 2

Adding log m and log n results in the logarithm of the product of m and n (log mn)

By using eqn 2, log x + log 3 becomes log 3x.

log x + log 3 = log 3x ---- eqn 3

By substituting eqn 3 in eqn 1, we get

log 3x = log 18

Since we have log on both sides, we can cancel log and the above equation becomes,

3x = 18

`x = (18)/(3) = 6`

Thus the value of x in log x + log3 = log18 is 6