Question

2^n-5×5^n-4=5

Answer 1

$\huge{\fbox{\sf{n=5 }}}$

Step 1:

$⇒ {2}^{n - 5} \times {5}^{n - 4} = 5$

Step 2:

$⇒{2}^{n - 5} \times {5}^{n - 4} = {5}^{1} \times {2}^{0}$

On comparing values we get:

Taking:

${2}^{n - 5} = {2}^{0}$

n-5=0

n=5✓

or

Taking:

${5}^{n - 4} = {5}^{1}$

n-4=1

n=5✓