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Solve each equation.$$16^{2 x+1}=64^{x+3}$$
$$\{7\}$$
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 2
Exponential Functions
Functions
Exponential and Logarithmic Functions
Missouri State University
Campbell University
Baylor University
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so we want to solve the falling for. So let's start by rewriting them with the same faces. Well, you know, about 16 is 23 of our four, so we can have two to the power of four times two x plus one and 64 is two Super 6 to 8. Seats are six times expose three. Okay, so now that we have the same basis, we know that our power is most vehicle, that is, four times two is an eight x plus. A four is equal to a six X plus 18. Okay, so let's subtract a six x from both sides so we can isolate Rx. And we also need to move this constant to our other side. So we get that a two X is equal to a four now solving for X, we get that X is equal to a two
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