Math, asked by sharmaaaditya2873, 4 months ago

solve 49^x=7^3

please help me

Answers

Answered by shamaguptakota
1

Answer:

x= 3/2

Step-by-step explanation:

49^x= 7³

7^2x= 7³

2x= 3

x= 3/2

Answered by anindyaadhikari13
6

Required Answer:-

Given:

  •  \rm {49}^{x}  =  {7}^{3}

To find:

  • The value of x.

Solution:

To solve this problem, we need to make the base of both the sides equal.

We have,

 \rm \implies {49}^{x}  =  {7}^{3}

 \rm \implies { ({7}^{2}) }^{x}  =  {7}^{3}

 \rm \implies{7}^{2x} =  {7}^{3}

Comparing base, we get,

 \rm \implies 2x = 3

 \rm \implies x = \dfrac{3}{2}

 \rm \implies x = 1.5

Hence, the value of x is 1.5

Answer:

  • The value of x is 1.5
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