emmanuellanicholas6
emmanuellanicholas6 emmanuellanicholas6
  • 27-03-2020
  • Mathematics
contestada

log3+logx=5/2
find x​

Respuesta :

nkirotedoreen46
nkirotedoreen46 nkirotedoreen46
  • 05-04-2020

Answer:

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

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