Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.log3(x2+18)=5log3x2+18=5
Rewrite log3(x2+18)=5log3x2+18=5 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then logb(x)=y is equivalent to b^y=x.3^5=x^2+18
Raise 3 to the power of 5 to get 243.243=x^2+18Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.x^2+18=35Raise 3 to the power of 5 to get 243.x^2+18=243Move all terms not containing x to the right side of the equation
Since 18 does not contain the variable to solve for, move it to the right side of the equation by subtracting 18 from both sides.x^2=−18+243Add −18 and 243to get 225.x^2=225
'Take the square root of both sides of the equation to eliminate the exponent on the left side.x=±√225xThe complete solution is the result of both the positive and negative portions of the solution.
Rewrite 225 as 152.x=±√152Pull terms out from under the radical, assuming positive real numbers.x=±15
