## Complete the square for the expression. Write the resulting expression as a binomial squared. x^2 + 4x + ___ A. x^2 + 4x + 4 = (x + 4)^2 B. x^2 + 4x + 16 = (x + 2)^2 C. x^2 + 4x + 4 = (x + 2)^2 D. x^2 + 4x + 16 = (x + 4)^2

October 11, 2019// Blog//

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=5Rewrite

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+18Raise 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

equationSince 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
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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