Question

Solve 4^2x=7 by graphing

Answer 1

I can't solve that by graphing but I'll try logarithms:
log(7)4 = 2x
log(7)/log(4) = 2x
1.403 = 2x
x = 0.702

Answer 2

0.702 is the solution of this function.

Explanation:

We have

`4^(2x)=7\\\\4^(2x)-7=0`

Let us plot
`y=4^(2x)-7` when y value of this function is zero then that is the solution of
`4^(2x)=7`

Refer the figure given, we have at x = 0.702 y value is zero that is 0.702 is the solution of this function.