Evaluate log4 7 using the change of base formula. Round your answer to the nearest thousandth. Show all work.

Mathematics

1 answer:

uranmaximum [27]1 year ago

3 0

$\log _47\text{ = }$

You might be interested in

Convert 6 7/20<br> into a decimal

Veseljchak [2.6K]

Answer:

6.35

Explanation:

7 divided by 20 is 0.35+6= 6.35

4 0

3 years ago

The graph of g is a translation 3 units up and 1 unit right of the graph of f(x) = x². Which is an equation for g?

algol [13]

Answer:

I believe its B.

Step-by-step explanation:

3 0

4 years ago

Choose the option with the proper number of sig figs

marishachu [46]

$\text{ 2 }\times10^8$

Explanation: $\begin{gathered} \text{Given:} \\ \frac{9\text{ }\times10^9}{4.5\text{ }\times10^1} \end{gathered}$

let's break down the expression to get the final result:

$\begin{gathered} \frac{9\text{ }\times10^9}{4.5\text{ }\times10^1}\text{ = }\frac{9}{4.5}\times\text{ }\frac{10^9}{10^1} \\ \frac{9}{4.5}\text{ = }\frac{9\text{ }\times\text{ 10}}{4.5\text{ }\times\text{ 10}}\text{ = }\frac{90}{45} \\ \frac{9}{4.5}\text{ = }2 \\ \\ \frac{10^9}{10^1}\colon\text{ when we divide exponents with same base, } \\ we\text{ take one of the base and combine the exponents by subtracting them:} \\ \frac{10^9}{10^1}=10^{9-1} \\ \frac{10^9}{10^1}=10^8 \end{gathered}$ $\begin{gathered} \frac{9}{4.5}\times\text{ }\frac{10^9}{10^1}\text{ = 2 }\times10^8 \\ \\ \text{when dividing decimals, }the\text{ least number of }significant\text{ }figures\text{ in the problem}, \\ \text{ }\det ermines\text{ the significant figures in the answer} \\ 9\text{ = 1 significant, 4.5 = 2 significant} \\ \text{The least significant is 1} \\ \\ \frac{9\text{ }\times10^9}{4.5\text{ }\times10^1}\text{ = 2 }\times10^8 \end{gathered}$

6 0

1 year ago

You are asked to draw a triangle with side lengths of 6 inches and 8 inches. What is the longest whole number length that your t

Leni [432]

Since 6 + 8 = 14 this is the longest that the third side can be.
The answer is B

5 0

3 years ago

8 ft<br> Find the area of the figure.

lina2011 [118]

Answer:

Area of a rectangle is length multiplied by the width. In this case, length is equal to width. So, Area is 8 ft * 8 ft which is 64 ft2.

5 0

3 years ago