Question

If 5 power x=100,then find the value of 5 power x+2

Answer 1

Given,

$\huge \tt {5}^{x} = 100$

Now,

$\bf \huge {5}^{x + 2} \\ \\ \tt = > {5}^{x} \times {5}^{2} \\ \frak{ = > 100 \times {5}^{2}} \\ \frak{ = > 100 \times 25 } \\ \frak{ = > \red{2500}}$

Answer 2

Given,

5 power x = 100

To find,

The value of 5 power (x+2)

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

If x, a, and, b are some integers, then there exists an exponential formula such that,

x^(a+b) = x^a × x^b

{Statement-1}

According to the question,

5 power x = 100

=> 5^x = 100 ---------------- {Equation-1}

Now, The value of 5 power (x+2) can be calculated as follows:

5 power (x+2)

= 5^(x+2)

= 5^x × 5^2

{according to statement-1}

= 100 × 5 × 5

{according to equation-1}

= 2500

Hence, the value of 5 power (x+2)is equal to 2500.