This is hardly calculus.
take log of both sides
ln(6.5)=3lna
1/3 ln(6.5)=ln a
when one asks for an equivalent expression, one can get many, many solutions.
6.5=a^3
This is what I have. can you help me out.
Ina[1/3]In6.5
take log of both sides
ln(6.5)=3lna
1/3 ln(6.5)=ln a
when one asks for an equivalent expression, one can get many, many solutions.
Taking the logarithm (base 10) of both sides, we have:
log(6.5) = log(a^3)
Now, using the power rule of logarithms, we can bring down the exponent 3 in front:
log(6.5) = 3 * log(a)
This expression, log(6.5) = 3 * log(a), is the equivalent expression involving a logarithm for the given exponential equation 6.5 = a^3.
However, the expression you provided, Ina[1/3] In 6.5, does not match the equivalent expression. It seems like you might have made a typographical error. The correct expression using logarithms would be log(6.5) = 3 * log(a).