find value of x if 343^x multiple by 49^3 =7
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Answer:The value of x is "- 1".
Step-by-step explanation:
We have,
49\times 7^{x} =343^{\dfrac{1}{3} }49×7
x
=343
3
1
To find, the value of x = ?
∴ 49\times 7^{x} =343^{\dfrac{1}{3}}49×7
x
=343
3
1
⇒ 7^{2} \times 7^{x} =(7^{3} )^{\dfrac{1}{3}}7
2
×7
x
=(7
3
)
3
1
⇒ 7^{2+x} =(7^{3\times \dfrac{1}{3}})7
2+x
=(7
3×
3
1
)
[ ∵ a^{m} \times a^{n} =a^{m+n} and (a^{m} )^{n} =a^{mn}a
m
×a
n
=a
m+n
and(a
m
)
n
=a
mn
⇒ 7^{2+x} =7^{1}7
2+x
=7
1
Equating the power of 7, we get
∴ 2 + x = 1
⇒ x = 1 - 2 = - 1
Hence, the valu
Step-by-step explanation:
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