Question

solve it with solution...........​

Answer 1

Answer:

Answer:–

• The value of n is 8.

Given:–

• The equation is, 2^n-7×5^n-4=1250

To find:

• The value of n is ?

Solution:–

Given that,

${2}^{n - 7} \times {5}^{n - 4 = 1250}$

${2}^{n - 4} \times {2}^{ - 3} \times {5}^{n - 4} = 1250$

$\frac{ {2}^{n - 4} \times {5}^{n - 4} }{ {2}^{3} } = 1250$

$\frac{ {10}^{n - 4} }{ {2}^{3} } = 1250$

${10}^{n - 4} = {2}^{3} \times {5}^{4} \times 2$

${10}^{n - 4} = {2}^{4} \times {5}^{4}$

${10}^{n - 4} = {10}^{4}$

$n - 4 = 4$

$n = 8$

So, The value of n is 8.