Question

6^(-2x)=6^(2)-3x i need help on solving this.

Answer 1

To solve the equation 6^(-2x)=6^(2)-3x, set the exponents equal to each other and solve for x.

The solution is x = 2.

Step-by-step explanation:

To solve the equation 6^(-2x)=6^(2)-3x, we can use the property of exponents that states that if two exponential expressions with the same base are equal, then their exponents must be equal.

So, we can set the exponents equal to each other:

-2x = 2 - 3x

Next, we add 3x to both sides to isolate the variable:

x = 2

Therefore, the solution to the equation is x = 2.