If 3 Superscript 2 x + 1 Baseline = 3 Superscript x + 5, what is the value of x? 2 3 4 6

x = 4

Step-by-step explanation:

3^ (2x+1) = 3^ (x+5) - since they have the same bases, set the exponents equal to each other

2x+1 = x+5

x = 4

x is 4

Step-by-step explanation:

Given the function

3^ (2x+1) = 3^ (x+5)

In indices, if the base of functions at both sides of an equation is the same, they cancel out. e. g

If a^x = a^y, then x = y

Similarly for the given function, the base 3 will cancel out from both sides of the equation to have the equivalent expression to be;

2x+1 = x+5

Solving the resulting equation for x;

First we take x+5 to the other side;

2x+1-x-5 = 0

We then collect the like terms and solve for x

2x-x+1-5 = 6

x - 4 = 0

x + 0+4

x = 4