Question

Find the value of x if 82x ÷ 8 - 5 = 87

Answer 1

Answer:

87+3 82 x

Step-by-step explanation:

so x = 90/82 so I guess this is the answer

Answer 2

The value of x = 1

Correct question : Find the value of x if $\displaystyle \sf{ {8}^{2x} \div {8}^{ - 5} = {8}^{7} }$

Given :

$\displaystyle \sf{ {8}^{2x} \div {8}^{ - 5} = {8}^{7} }$

To find :

The value of x

Formula :

$\displaystyle \sf{\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

Solution :

Step 1 of 2 :

Write down the given equation

Here the given equation is

$\displaystyle \sf{ {8}^{2x} \div {8}^{ - 5} = {8}^{7} }$

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ {8}^{2x} \div {8}^{ - 5} = {8}^{7} }$

$\displaystyle \sf{ \implies \frac{ {8}^{2x} }{ {8}^{ - 5} } = {8}^{7} }$

$\displaystyle \sf{ \implies {8}^{2x - ( - 5)} = {8}^{7} }\: \: \: \bigg[ \: \because \:\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} \bigg]$

$\displaystyle \sf{ \implies {8}^{2x + 5} = {8}^{7} }$

$\displaystyle \sf{ \implies 2x + 5 = 7}$

$\displaystyle \sf{ \implies 2x = 7 - 5}$

$\displaystyle \sf{ \implies 2x = 2}$

$\displaystyle \sf{ \implies x = \frac{2}{2} }$

$\displaystyle \sf{ \implies x = 1 }$

Hence the required value of x = 1

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ choose the correct alternative : 100¹⁰⁰ is equal to (a) 2¹⁰⁰ × 50¹⁰⁰ (b) 2¹⁰⁰ + 50¹⁰⁰ (c) 2² × 50⁵⁰ (d) 2² + 50⁵⁰

https://brainly.in/question/47883149

2. Using law of exponents, simplify (5²)³÷5³

https://brainly.in/question/36250730

#SPJ3