Question

If 25 raised to the power x-1 = 625​

Answer 1

Answer: 25^x-1=625

25^x-1=25^2

x-1=2

x=2-1

=x=1

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Answer 2

GIVEN:

• (25)^x-1 = 625

TO FIND:

• The value of x .

SOLUTION:

$\implies \bf \:( 25) ^{x - 1} = 625$

Now Expand 625 as (25)².

$\implies \tt \: (25) ^{x - 1} = (25) ^{2}$

On using x^a = x ^b : a = b we get,

$\implies \tt \: x - 1 = 2 \\ \implies \tt \: x = 3$

Hence the value of x is 3.

Some more exponential Identity:

➜ a^n × a^m = a^n+m

➜ a^n ÷ a^m = a^n-m

➜ a° = 1

➜ a^n = 1/a^-n

➜ a^m = a^n = m = n

➜a^n = b^n = a = b

➜(a^m)^n = a^mn