Question

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.

Answer 1

--Answer:

y-intercept=-2

Explanation:

`f(x)=-(1)/(8)(4)^(x+3) +6\\</p><p>when ~ x=0\\</p><p>f(0)=-(1)/(8)(4)^(0+3) +6=-(1)/(8)*64+6=-2\\`

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`3=log_(0.6) 0.216\\or~(0.6)^(3) =0.216`

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ln(52)=3.95124

Answer 2

`\displaystyle 3,951243719 ≈ 3,951 ≈ ln\:52`

`\displaystyle 0,216 = 0,6^3 ← 3 = log_(0,6)0,216`

`\displaystyle [0, -2]`

Step-by-step explanation:

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

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

`\displaystyle b = a^c == c = log_ab \\ \\ 0,216 = 0,6^3 == 3 = log_(0,6)0,216`

I am joyous to assist you anytime.