# 3 to the 10th power = 3 to the 7th power times x to the 3rd power (solve for x)

3

Step-by-step explanation:

Rewriting this sentence as an algebraic equation, we get:

3^10 = 3^7 * x^3.

Dividing both sides by 3^7 simplifies the problem:

3^3 = x^3

Here this x corresponds to the 3 in 3^3.  Thus, the solution is x = 3.

Using exponent rules and logarithms, the given equation can be simplified and solved to find that x equals 3.

### Explanation:

The subject of the question falls into the field of Mathematics, specifically exponent rules, which are used in High School level algebra. In the mathematics problem provided ('3 to the 10th power = 3 to the 7th power times x to the 3rd power'), we need to solve for x using the knowledge of exponents.

First, it's helpful to know that when two expressions with the same base (in this case, 3) are set equal to each other, their exponents must also be equal. Since we know that 3 to the 7th power times x to the 3rd power equals 3 to the 10th power, we can break this down further. This leads to the equation 7 + 3log(x) = 10, where 'log' represents the logarithm.

By simplifying the equation, we get 3log(x) = 10-7, so 3log(x) = 3. Therefore, log(x)=3/3, hence log(x)=1. If we apply anti logarithm on both sides, we'll find that x = 3 to the power of 1, so x = 3. In other words, 3 to the 3rd power will equal3 to the 10th power divided by 3 to the 7th power. Hence, the value of x is 3.

brainly.com/question/29125740

#SPJ3

## Related Questions

What is 19/30 as a precent

19/30
= 19/30*(100%)
(100%= 100/100= 1, so it does not change the outcome)
= 63.33%

19/30 Written as a percent would be 63%
This is because 19 divided by 30 is equal to about 0.63
THEN MULTIPLIED BY 100 WOULD EQUAL 63%

Can you guys help me with fractions I forgot over the summer. Please explain easily.

So in order to add the fractions together you need to first find a common denominator. For the very first problem you can use 63 as a denominator because 7*9=63. Now for the numerator. So you have 4/7 and 8/9. We just multiplied 7 by 9 so now we need to do that for 4 also. 4*9=36. Now we have 36/63. For 8/9 we multiply 8 by 7 to get 56. Now we have 36/63 + 56/63. Once you add those together you simplify your answer.

Bella pays 7 payments of \$5 each to a game store. She returns none game and receives \$20 back. What is the change to the amount of money she has.

Die to calculations:7×5=35    32-20=15
So she gets \$15 change back :)

Hope I helped!

-RainyClouds

15

Step-by-step explanation:

126 is decreased to 48 percent of change

100-48=52
52% of 126=0.52 times 126=65.52

The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?

The area of flour tortilla is:

113.04 square inches.

Step-by-step explanation:

The flour tortilla is in the shape of a circle.

Hence we need to find the area of as circle whose diameter is 12 inches.

As we know that the diameter and radius are related as:

This implies,

The area of circle is given as:

=3.14×6²

=113.04 square inches.

Hence, the area of flour tortilla is:

113.04 square inches.