Question

Find the value of ( -3)x = −243

Answer 1

Answer:

Question:- ( -3)x = −243

Solution:-

-3x= -243

x= -243/-3

x=81 (as both negative signs are cancelled

Verifying:-

Let's check whether it's correct or not

-3×81=-243

-243=-243

L.H.S=R.H.S

hence

Or If it's

3 raise to x,then asnwer

is

3^x=243

we've to make 243 as in exponential form of 3,so that bases must be equal

that is

we know

243=3×3×3×3×3

that is 3⁵

hence,I can write it as

3^x=3⁵

we know

if a^m=a^n,then m=n

thus

x=5

therefore the value of x is 5

Let's check whether it's correct or not

3⁵=3⁵

3×3×3×3×3=3×3×3×3×3

243=243

L.H.S=R.H.S

hence verified

hope it helps

Answer 2

Answer:

x =5

Step-by-step explanation:

If “3^x=243”, what is “x”?

243/3 = 81, 243 = 3*81 = 3*9*9 = 3*3*3*3*3 = 3^5

3^x=243

3^x=3^5, since the bases are equal, the exponents must be equal

x = 5