The solution to the equation 5^x=7 satisfies which of the following statements.

A. x<1
B. 1 C. 2 D. x>3

Can you explain how to get the answer?
Answer: B

5¹ = 5
5² = 25
7 is between 5 and 25

yes, if x was 1, then 5 to the first power would be 5, which is less than 7. Now, we know that x has to be less than 2, because 5 to the second power (which would be 5 times 5) is 25, and 25 is bigger than 7, so we know that x has to be a number between 1 and 2, thus x is more than 1 but less than 2 (1
-

as x increases from 0 to higher values the function 5^x changes from 1 then to 5 and then to 25, as follows:
x 5^x
0 1
1 5
2 25
3 125
....... and so on so when 56x = 7 x must be between 1 and 2
So option, "B. 1
-

2nd option...less than 2,greater than 1
(1
-

5^x = 7
x
= ln(7)/ln(5)
= 1.2091
Answer:
B. 1 < x < 2

-

x = 1.20906

1

keywords: which,solution,following,statements,of,The,satisfies,to,equation,the,The solution to the equation 5^x=7 satisfies which of the following statements.

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