Solve the exponential equation for x

Answers

answer: i literally just answered this question but they want me to do it again

step-by-step explanation:

I’m not sure what it is i sorry : ((

the value of x=-2

Step-by-step explanation:

216=6^{4x+11}

To solve for x  we need to make the same base on both sides

we need to get same base 6 on both sides of the equation.

216 can be written as 6 times 6 times 6 =6^3

6^3=6^{4x+11}

Both sides have same base, so we equate the exponents

3=4x+11

Subtract 11 on both sides

-8=4x

Divide both sides by 4

-2=x

So the value of x=-2

216 = 6^3

so

216 = 6^(4x + 11)

6^3 = 6^(4x + 11)

3 = 4x + 11

4x = 3 -11

4x = - 8

 x = -2



Do you know the answer?

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