# math

posted by .

solve for x without using a calculator
5^(x+1) = 25

i know that x would equal 1 because 5^2 is 25, but i don't know how to show how to solve it

All you need to do is what you just did: Explain that if x = 1, the equation is satisfied.

If you are looking for a method of solution other than a guess that happens to work, take the log of both sides of the equation.
(x+1) log 5 = log 25
x+1 = log 25/log 5 = (log 5^2)/log5
= (2 log 5)/log 5 = 2
x = 1

solve for x without using a calculator
5^(x+1) = 25

5^(x + 1) = 25 = 5^2

Therefore, (x + 1) = 2 making x = 1.

• math -

(x+1)(x-1)=5(x-1)

## Similar Questions

1. ### Math

I just don't understand this question: h(t)=A*b^x h(3)=4 h(5)=40 Solve for b Would you plug 3 into the x and set it equal to 4?
2. ### Algebra 2

I need help with this problem because I do not have a graphing calculator. Explain how you would solve this equation using your graphing calculator in five steps then give the solution. 2x- 3y=8 5x+ 4y= 11 Also how do you determine …
3. ### Algebra 2

I need help with this problem because I do not have a graphing calculator. Explain how you would solve this equation using your graphing calculator in five steps then give the solution. 2x- 3y=8 5x+ 4y= 11
4. ### math

Solve for x (without using a calculator): log base 3 of x^2= 2log base 3 of 4-4log base 3 of 5 Solve each of the inequalities: (a) x^2+2x-3<(or equal to)0 (b) (2x-1)/(3x-2)<(or equal to)1 Any help is appreciated!
5. ### Math

I need to show how to solve this: Question - 50.50/ 0.5 The calculator shows the answer 101.00 Can you tell me how to solve it?
6. ### Precalculus

Solve the equation x^3 - 2x + 4 = 0. ==> I know the answer is -2, but I can't seem to remember how to solve these by hand without using a graphing calculator. Any help is greatly appreciated!! :)
7. ### Math

Hi,I need to know how to do question like this without using a calculator. Can anyone help please. Which of the following is closest to square root of 4000 A)40 B) 60 C) 200 D) 2000 I know the answer is B , but I did it on the calculator. …
8. ### algebra

Note: Remember to show all of the steps that you use to solve the problem. You have \$59.95 in your wallet and want to buy some new CDs. If the CDs are \$11.99 each, what number of CDs, x, can you buy?
9. ### Trigonometry

Without using the Calculator, solve the ff: (show solution) a. Cos 18° b. Tan 18° c. Cot 18° d. Sin 9° e. Cos 9° [Hint: Using any of the formulas for Half- Angle, Double Angles, Reduction] Good Day!!! Thank you for the time. :)
10. ### Math

Solve without the use of a calculator: sin20(tan10+cot10) I know it should equal two but I don't know how to get there

More Similar Questions