If the value of 6x-65-6-7 is equal to 6-4- the value of x is

The expression is given as: 6x×65×6 7=6 4 You know, nbsp;ax×ay=ax+y Here a = 6. Putting the value and equating the two sides, you get 6x×65×6 7=6 4or, nbsp; ...

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Byju's Answer

Standard VIII

Mathematics

Linear Equation in One Variable

If the value ...

Question

If the value of $6^{x} \times 6^{5} \times 6^{- 7}$ is equal to $6^{- 4}$ , the value of x is ______

-2

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Solution

The correct option is A -2
The expression is given as:
$6^{x} \times 6^{5} \times 6^{- 7} = 6^{- 4}$
You know, $a^{x} \times a^{y} = a^{x + y}$
Here a = 6.
Putting the value and equating the two sides, you get
$6^{x} \times 6^{5} \times 6^{- 7} = 6^{- 4} o r, 6^{x + 5 + (- 7)} = 6^{- 4} o r, 6^{x + 5 - 7} = 6^{- 4} o r, x + 5 - 7 = - 4 o r, x - 2 = - 4 o r, x = - 4 + 2 [t a k i n g + 2 o n t h e o t h e r s i d e] o r, x = - 2$

∴ Value of x = -2

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If the value of 6x×65×6−7 is equal to 6−4, the value of x is ______

If the value of $6^{x} \times 6^{5} \times 6^{- 7}$ is equal to $6^{- 4}$ , the value of x is ______