Question

if 2^x+³=32, then what is the value of 3⁶-^x​

Answer 1

Step 1:

First find the value of x, so If 2⁵=32, and 2+3 =5

Then we can say that, x=2 and x+3=5, so 2⁵=32

Step 2:

Now, we have found out that x=2, so If we put the value of x in equation 2 ( 3⁶-^x ), then 6-2=4 and 3⁴=81, so the value of 3⁶-^x = 81.

Solved!

Answer 2

Answer:

${3}^{6 - x} = 81$

Step-by-step explanation:

${2}^{x + 3} = 32$

Converting the base to 2 —

${2}^{x + 3} = {2}^{5}$

Since bases are equal, exponents are equal too —

$x + 3 = 5$

$x = 2$

So,

${3}^{6 - x} = {3}^{(6 - 2)} = {3}^{4} = 81 \: \: \: (ans)$

Hope this helps you :)