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3 years ago

Solve 3^x - 5. What are the exact and approximate solutions?

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

6 0

Answer:

x = log(5) / log(3)

x=1.46497

Step-by-step explanation:

3^x - 5 =0

Add 5 to each side

3^x = 5

Take the log of each side

log 3^x = log 5

We know log a^b = b log (a)

x log (3) = log (5)

Divide side by log (3)

x = log(5) / log(3)

x=1.46497

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2 years ago

What is -6 divided by 3/7x

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3 years ago

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2 years ago

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F(x) = 2x + 3g(x) = 2x² + 6x + 13Find: (gºf)(x)

Butoxors [25]

Answer:

The function (gof)(x) is;

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Explanation:

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Solving for the function;

$(g\circ f)(x)=g(f(x))$

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$\begin{gathered} g(f(x))=2(f(x))^2+6(f(x))+13 \\ g(f(x))=2(2x+3)^2+6(2x+3)+13 \\ g(f(x))=2(4x^2+12x+9)^{}+6(2x)+6(3)+13 \\ g(f(x))=8x^2+24x+18^{}+12x+18+13 \\ g(f(x))=8x^2+24x^{}+12x+18+18+13 \\ g(f(x))=8x^2+36x+49 \end{gathered}$

Therefore, the function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

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7 months ago

Solve 3^x - 5. What are the exact and approximate solutions?​

Solve 3^x - 5. What are the exact and approximate solutions?