Question

5^p-4 × 2^p-5 = 5 then find the value of p.

Answer 1

Answer:

5^p-4×2^p-5=5

5^p/5^4×2^p/2^5=5

10^p=5*5^4*2^5

10^p=100000

10^p=10^5

same base powers are equal

p=5

Answer 2

Answer:

The value of p is $p-5=0= > p=5$

Step-by-step explanation:

The given exponential expression is

$5^{p-4}\times2^{p-5}=5$

Dividing both sides of expression with '5' we get,

$\frac{5^{p-4}\times2^{p-5}}{5} =1\\= > 5^{p-5}\times2^{p-5}=1$

As powers are equal,we can multiply the bases as shown below

$(5\times2)^{p-5}=1\\= > 10^{p-5}=1=10^{0}$

As the bases are equal the powers must be equal.Therefore,

$p-5=0= > p=5$

Therefore,

The value of p is $p-5=0= > p=5$

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