Log3+logx=5/2

find x

x = 105.4

Step-by-step explanation:

We are given;

Log 3 + log x = 5/2

We are required to find x;

We are going to use the laws of logarithms to solve for x

That is;

log a + lob b = log (ab)

Therefore;

Log 3 + log x = 5/2

we get;

log 3x = 2.5

But;

Given, logₐb = x, then b = a^x

In this case;

log 3x = 2.5

we get, 3x = 10^2.5

That is, 3 x = 316.227

x = 105.4

Thus, the value of x is 105.4