Solve 2^(3x-4)=5 round to the nearest ten-thousandth

2 answers:

4 0

2^(3x-4)=5
ln(2^(3x-4)=ln 5
(3x-4)ln 2=ln 5 (log_a x^n=n*log_a x)
3x-4=ln 5/ln 2
3x=(ln 5 / ln 2)+4
x=[(ln 5 / ln 2)+4]/3
x≈2.1073

Answer: x=[(ln 5/ln 2) +4]/3 (≈2.1073)

noname [10]3 years ago

3 0

You can use logarithm for this question:
If you convert the provided equation into logarithm, you should get:
Log _2 5= (3x-4)
You plug log_2 (5) into a calculator, I dont have one with me so you will have to do the calculation, then solve for x

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A right pyramid has a height of 3 inches and a square base with side length of 5 inches. What is the volume of the pyramid?

Julli [10]

Answer: 25 in³

Step-by-step explanation:

We can calculate the volume of the pyramid by first calculating the volume of a prism with the same dimensions, and then dividing by 3 (all pyramids a volume that's $\frac{1}{3}$ of the volume of a prism with the same dimensions).

The volume of a prism is its base area times its height. The base would be a square, so its area is 5², which is 25. The height is 3 inches, making the prism's volume 75 in³.

The volume of the pyramid would be one-third of this value, which is 75 $75\div3$ which is 25 in³.