# 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.

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

## To solve the equation 5^(x+1)=25 without using a calculator, we can use the concept of logarithms.

First, note that 25 can be written as 5^2. So we have:

5^(x+1) = 5^2

Since the bases are the same, we can equate the exponents:

x+1 = 2

To isolate x, we subtract 1 from both sides:

x = 1

Therefore, the value of x that satisfies the equation is 1.