Find m so that 3m+1×3power 5=3power7
Answers
Step-by-step explanation:
3power m+1×3 power 5=3power 7
now
as exponents are same
this property is used
a power b ×a power c=a power b+c
3power m+1+5=3 power 7
now
m+1+5=7
m+6=7
m=7-6
m=1
Answer:
Here, the question should be 3^m+1×3^5=3^7 so as to obtain correct answer which is =m=1
Step-by-step explanation:
Here, According to question,
=3^m+1×3^5=3^7
=Now, As we know that if both numbers (or bases) are same and powers are different, then the powers are added to the base uniquely,
=3^(m+1+5)=3^7
=Here, 3 is on both sides, so both 3s would be cancelled, and we get,
=m+1+5=7
=m+6=7
=m=7-6
=m=1.
Now, Proof,
=As value of m= 1,
=3^1+1+3^5=3^7
=3^7=3^7(As bases are same and powers were different and now same)
LHS=RHS (Proved)
I hope that my answer helps you,
Thank you.