Question

2^x×5^x= 10000 find the value of x

Answer 1

Hey Mate

Your answer is here

Given that,,

2^x × 5^x = 10000

So,,

( 2×5 )^x = 10000

10^x = 10000

10^x = 10^4

Hence

x = 4

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Answer 2

Hey there! Here is your answer.

${2}^{x} \times {5}^{x} = 10000 \\ = > {(2 \times 5)}^{x} = {10}^{4} \\ = > {10}^{x} = {10}^{4} \\ base \: is \: equal \\ \: so \: \: power \: is \: equal \\ = > x = 4$

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Answer 3

As we know that,

a^m * b^m = (ab)^m

then,

2^x * 5^x = 10000

(2*5)^x = 10000

10^x = 10000

10^x= 10^4

x=4

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