Change the exponential expression to an equivalent expression. It should involve an a logarithm.
6.5=a^3
This is what I have. can you help me out.
Ina[1/3]In6.5
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.
To change the exponential expression 6.5 = a^3 to an equivalent expression involving a logarithm, you can take the logarithm of both sides. Since the base is not specified, you can assume that you want to use the common logarithm, which is logarithm with base 10, denoted as "log".
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).