Domanda del libro di testo
In Exercises 79–84, solve for y.
79. 3^y = 2^(y+1)
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0. Functions
Exponential & Logarithmic Equations
Scelta multipla
Solve the exponential equation.
A
B
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D
Guida verificata passo dopo passo1
First, identify the structure of the exponential equation. The equation given is \( 4^{x+7} = 16 \).
Recognize that 16 can be expressed as a power of 4. Specifically, \( 16 = 4^2 \). This allows us to rewrite the equation as \( 4^{x+7} = 4^2 \).
Since the bases are the same, you can set the exponents equal to each other. This gives us the equation \( x+7 = 2 \).
Solve for \( x \) by isolating it on one side of the equation. Subtract 7 from both sides to get \( x = 2 - 7 \).
Simplify the expression to find the value of \( x \). This results in \( x = -5 \).
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