Question

5 ^{x - 2}  - 3² = 2⁴ - ( 6⁸  : 6⁶  - 6² )

Answer 1

`@` `\text {Ans}`

`\downarrow`

\(5^{x-2}-3^2=2^4-\left(6^8\div6^6-6^2\right)\)

`\Rightarrow`\(5^x\div5^2-9=16-\left(6^2-6^2\right)\)

`\Rightarrow`\(5^x\div5^2-9=16\)

`\Rightarrow`\(5^x\div5^2=25\)

`\Rightarrow`\(5^x=5^2\cdot5^2\)

`\Rightarrow`\(5^x=5^4\Rightarrow x=4\)

Vậy, `x = 4.`

Answer 2

5ˣ⁻² - 3² = 2⁴ - (6⁸ : 6⁶ - 6²)

5ˣ⁻² - 9 = 16 - (36 - 36)

5ˣ⁻² - 9 = 16

5ˣ⁻² = 16 + 9

5ˣ⁻² = 25

5ˣ⁻² = 5²

x - 2 = 2

x = 2 + 2

x = 4

Answer 3

5x−2−32=24−(68÷66−62)

$\Rightarrow$5�÷52−9=16−(62−62)5x÷52−9=16−(62−62)

$\Rightarrow$5�÷52−9=165x÷52−9=16

$\Rightarrow$5�÷52=255x÷52=25

$\Rightarrow$5�=52⋅525x=52⋅52

$\Rightarrow$5�=54⇒�=45x=54⇒x=4

Vậy, $x=4.$

Answer 4

$5^{x-2}-3^2=2^4-\left(6^8÷6^6-6^2\right)$

$\Rightarrow$$5^x÷5^2-9=16-\left(6^2-6^2\right)$

$\Rightarrow$$5^x÷5^2-9=16$

$\Rightarrow$$5^x÷5^2=25$

$\Rightarrow$$5^x=5^2\cdot 5^2$

$\Rightarrow$$5^x=5^4\Rightarrow x=4$

Vậy, $x=4.$