Question

find the value of'n'7^2n+7÷49=
7^3​

Answer 1

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9th

Maths

Number Systems

Laws of Exponents for Real Numbers

Find the value of ' n ' in ...

MATHS

Find the value of 'n' in the following:

7

2n+1

÷49=7

3

MEDIUM

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ANSWER

we know that,

∵

a

n

a

m

=a

m−n

so,

7

2

7

2n+1

=7

2n+1−2

=7

2n−1

now,

⟹7

2n−1

=7

3

As bases are equal

powers are equal

2n−1=3

n=2