Question

if 5√5*625*4√5=5^n+1/5 what will be value of n a)5 11/20 b)7 11/20 c)6 11/20 d)4 11/20
solve easy way​

Answer 1

Answer:

(a) n+5 = 19 (n=1)

1+5\ =\ 4\ \ne\ n+5\ =\ 19\

(b) 7n+5 = 19 (n=-2)

7\times\left(-2\right)\ +\ 5\ =\ 19\

-14+5\ =\ 19\

9\ne19

(c) 7n+5 = 19 (n=2)

7\times2+5=19\

14+5\ =\ 19\

19=19

(d) 4p-3 = 13 (p=1)

4\times1-3=13\

4-3=13

1\ne13\

(e) 4p-3 = 13 (p=-4)

4\left(-4\right)\ -3\ =\ 13

-16\ -3\ =\ 13\

-19\ \ne13

(f) 4p-3 = 13 (p=0)

4\times0\ -3=13

0-3=13

-3\ne13

Answer 2

Answer:

The value of n is 6.8613.

Step-by-step explanation:

Step 1: To simplify simply is to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

Step 2: When multiplying a number by itself repeatedly, exponents are employed to illustrate this. For instance, $7^3$ may be used to represent 7 x 7 x 7. The exponent in this case is "3," denoting how many times the number 7 has been multiplied. Here, the number that is actually being multiplied is 7, which serves as the base. Exponents or powers simply indicate how many times a number may be multiplied.

Step 3: $5 \sqrt{5} \times 625 \times 4 \sqrt{5}=5^n+\frac{1}{5}$

Switch sides

$5^n+\frac{1}{5}=5 \sqrt{5} \times 625 \times 4 \sqrt{5}$

Simplify $5 \sqrt{5} \times 625 \times 4 \sqrt{5}: 12500 \sqrt{5}^2$

$5^n+\frac{1}{5}=12500(\sqrt{5})^2$

Move $\frac{1}{5}$ to the right side

$5^n=12500(\sqrt{5})^2-\frac{1}{5}$

Simplify $12500(\sqrt{5})^2-\frac{1}{5}: \quad 62500-\frac{1}{5}$

$5^n=62500-\frac{1}{5}$

Apply exponent rules

$n \ln (5)=\ln \left(62500-\frac{1}{5}\right)$

Solve $n \ln (5)=\ln \left(62500-\frac{1}{5}\right): \quad n=\frac{\ln \left(\frac{312499}{5}\right)}{\ln (5)}$

$n=\frac{\ln \left(\frac{312499}{5}\right)}{\ln (5)}$

n=6.8613

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