#1**+2 **

3 log_{x} 2 + log_{x} 18 = 2 change to log_{10}

3 log 2/log x + log 18/logx = 2

3 log 2 + log 18 = 2 log x

3/2 log 2 + 1/2 log 18 = log x

1.07918 = log x

x = 12

ElectricPavlov Mar 3, 2020

#2**+2 **

This is the way I interpreted your question:

Solve for x:

(3 log(2))/log(x) + log(18)/log(x) = 2

Bring (3 log(2))/log(x) + log(18)/log(x) together using the common denominator log(x):

(3 log(2) + log(18))/log(x) = 2

Take the reciprocal of both sides:

log(x)/(3 log(2) + log(18)) = 1/2

Multiply both sides by 3 log(2) + log(18):

log(x) = 1/2 (3 log(2) + log(18)) Evaluate the RHS

Log(x) = 1.0791812460 Raise the RHS to the power of 10

x = 10^1.0791812460

**x = 12**

Guest Mar 3, 2020