Terri's teacher gives her the equation \(3(5)^x = 127 - 2x\) and mentions that she may not be able to solve it algebraically. Explain how Terri could use a graph to solve the equation. Find the value of \(x\) to the nearest tenth.

f ( x ) = 3 ⋅ 5 x g ( x ) = 127 − 2 x x ≈ 2.3043 → so l u t i o n in ann e x

Answered by kate200468 | 2024-06-10

Terri can solve the equation 3 ( 5 ) x = 127 − 2 x graphically by plotting the two functions f ( x ) = 3 ( 5 ) x and g ( x ) = 127 − 2 x . The solution is found at their intersection point, which is approximately x ≈ 2.3 .
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Answered by kate200468 | 2024-12-23