Question
Solve the equation
Solve for x
x1=−2,x2=2
Evaluate
log4(x2+4)=1.5
Convert the logarithm into exponential form using the fact that logax=b is equal to x=ab
x2+4=41.5
Evaluate the power
x2+4=8
Move the constant to the right-hand side and change its sign
x2=8−4
Subtract the numbers
x2=4
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4
Simplify the expression
More Steps
Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
x=±2
Separate the equation into 2 possible cases
x=2x=−2
Solution
x1=−2,x2=2
Show Solution