Question

solve 49 into 7 ki power X equal 343 ki power 1 upon 3​

Answer 1

Answer:

x = - 1

Step-by-step explanation:

Given :

$\large \text{ 49\times7^x=343^{\frac{1}{3} } }$

Rewrite 49 as $7^2$

Also rewrite 243 as $7^3$

$\large \text{ 7^2\times7^x=7^{\frac{3}{3} } }\\\\\\\large 7^2\times7^x=7^1$

We know that when base is same power is added

$\large 7^{2+x}=7^1$

On comparing both side we get

2 + x = 1

x = 1 - 2

x = - 1.

Verification:

Put x = - 1 in given value

$\large \text{ 49\times7^x=343^{\frac{1}{3} } }\\\\\\\large \text{ 49\times7^{-1}=7^{\frac{3}{3} } }\\\\\\\large 49\times\dfrac{1}{7} =7\\\\\\\large 7\times1=7 \\\\\\\large 7=7$

L.H.S = R.H.S.

Hence verified.