Question

Solve for x: logx 4=1/2

Answer 1

Write the equation in exponential form: x^(1/2) = 4

Now solve for x.

Answer 2

x=2?

Answer 3

no; show me how you solved that equation.

Answer 4

I multiplied the 4 by 1/2

Answer 5

The equation says x raised to the 1/2 power = 4

Answer 6

You should know that x^ (1/2) means square root of x.

so you have square root of x = 4; so what is x?

Answer 7

x=16 ?

Answer 8

yes!

Answer 9

Thanks! So how would i do it if x was on the other side of the equals sign as in log4 1/64 =x

Answer 10

that means 4^x = 1/64

Answer 11

the way you would solve that is to write 1/64 as 4^(-3) becuase 4^(-3) means 1/4^3 = 1/64

so if you have 4^x = 4^(-3)...so the bases are both 4, so set the exponents equal to each other, x = -3.

Answer 12

Ok, thanks for your help i really understand this better!

Answer 13

welcome.