The discussion focuses on rewriting logarithmic equations in exponential form, specifically addressing Log(6) 1294 = 4, which translates to 6^4 = 1296. Participants clarify the relationship between logarithms and exponents, emphasizing the formula log_b(a) = c implies b^c = a. Additional evaluations include Log(4) 64, which simplifies to 4^3 = 64, and Log(16) 4, which simplifies to 16^(1/2) = 4. The conversation highlights the importance of understanding logarithmic identities for accurate conversions.
PREREQUISITESStudents, educators, and professionals in mathematics or engineering who require a solid understanding of logarithmic and exponential relationships for problem-solving and theoretical applications.
Vi Nguyen said:Rewrite in exponential form:
Log(6) 1294 = 4
sure that isn't 1296 ?Log(w) v = t
if you meant w to be the base of the logarithm ... $w^t = v$
Ln(1/4) = x
$e^x = \dfrac{1}{4}$
Evaluate
Log(4) 64 = ?
note that $4^3 = 64$
Log(16) 4 = ?
note $16^{1/2} = 4$