Question 1 and 2 in the picture

3.) What is the value of the logarithm?

In (52)

Round the answer to the nearest ten thousandth.

Question 1 and 2 in the picture3 What is the value of the logarithmIn 52Round the answer to the nearest ten thousandth class=
Question 1 and 2 in the picture3 What is the value of the logarithmIn 52Round the answer to the nearest ten thousandth class=

Respuesta :

--Answer:

y-intercept=-2

Step-by-step explanation:

[tex]f(x)=-\frac{1}{8}(4)^{x+3} +6\\

when ~ x=0\\

f(0)=-\frac{1}{8}(4)^{0+3} +6=-\frac{1}{8}*64+6=-2\\[/tex]

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[tex]3=log_{0.6} 0.216\\or~(0.6)^{3} =0.216[/tex]

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ln(52)=3.95124

Answer:

[tex]\displaystyle 3,951243719 ≈ 3,951 ≈ ln\:52[/tex]

[tex]\displaystyle 0,216 = 0,6^3 ← 3 = log_{0,6}0,216[/tex]

[tex]\displaystyle [0, -2][/tex]

Step-by-step explanation:

The y-intercept and the exponential formula are shown above.

Now, here are the rules for exponential and logarithmic formulas:

[tex]\displaystyle b = a^c == c = log_ab \\ \\ 0,216 = 0,6^3 == 3 = log_{0,6}0,216[/tex]

I am joyous to assist you anytime.

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