Question

Find the value of x
log x 8 = 0.5

Answer 1

`D:x > 0\ and\ x\\eq1\\\\log_x8=0.5\iff x^(0.5)=8\ \ \ \ |square\ of\ both\ sides\\\\\left(x^(0.5)\right)^2=8^2\\\\x=64\\\\check:\\log_(64)8=0.5\iff64^(0.5)=8\to 64^(1)/(2)=√(64)=8`