Question

find the value of x ​

Answer 1

Answer

x = 2

Explanation

100 = 10^x

100 = 10^2

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Answer 2

Answer:

x is equals to 2

Step-by-step explanation:

6²×5⁴×(-1)⁷⁸  = 10ˣ        -eq.1

8⁰×3²×5²×10⁰

(Anything)⁰ = 1. So, 8⁰ = 10⁰ = 1 and (-negative num) to the power even number = positive number. So, (-1)⁷⁸ = 1

Putting these values in eq.1 we get,

6²×5⁴×1     = 10ˣ  

1×3²×5²×1

36×5² = 10ˣ  

 9

4×5² = 10ˣ  

2×2×5×5 = 10ˣ  

10×10 = 10ˣ  

10² = 10ˣ  

Base are same. So, the powers will be equal.

∴ x = 2