Question

If 3^x=81 then find the value of 3^x-6

Answer 1

Soln:-
=>3^x=81

=>3^x=3^4

=> x=4

3^x-6

=>3^4-6

=>81-6

=>75

Answer 2

Value is $\bf \pink{{3}^{x} - 6 = 75}$

Given:

• ${3}^{x} = 81$

To find:

• Find the value of ${3}^{x} - 6$

Solution:

Concept to be used:

If base are same in both sides of an equation, then we can compare powers.

Step 1:

Rewrite the given equation.

${3}^{x} = {3}^{4}$

here base are same.

So,

we can compare powers.

Thus,

$\red{x = 4 }$

Step 2:

Find the value by putting value of x.

${3}^{x} - 6 = {3}^{4} - 6$

or

$= 81 - 6$

or

$\bf {3}^{x} - 6 = 75$

Thus,

Value of expression is 75.

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