Question

4^(х+2)=48 найти 4^х

Answer 1

4^x*4^2=48
4^x*16=48
4^x=3

Answer 2

4^(x+2)=48
4^x+8=48
4^x=48-8
4^x=40|:4
x=10

Answer 3

To find the value of 4^x, we can first solve the equation 4^(x+2) = 48 for x, and then use the obtained value of x to calculate 4^x.

Step 1: Solve for x 4^(x+2) = 48

To make the equation simpler, we can rewrite 48 as a power of 4: 48 = 4^3

So the equation becomes: 4^(x+2) = 4^3

Since the bases are the same (both are 4), the exponents must be equal: x + 2 = 3

Now, solve for x: x = 3 - 2 x = 1

Step 2: Find 4^x Now that we have the value of x (x = 1), we can find 4^x: 4^1 = 4

So, the value of 4^x is 4.