Question

Rewrite e⁻³.³ = h as an equivalent logarithmic equation. Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c* log (h).

Answer 1

To rewrite e^-3.3 = h as an equivalent logarithmic equation, we can use the property that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. The equivalent logarithmic equation is -3.3 = ln(h).

Step-by-step explanation:

The given equation is e-3.3 = h. To rewrite this equation as an equivalent logarithmic equation, we need to recall that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. In this case, we have e raised to the power of -3.3. Therefore, the equivalent logarithmic equation would be:

ln(e-3.3) = ln(h)

This equation can be simplified further using the property that the natural log and exponential functions are inverse functions of each other, denoted as ln(x) = loge(x). Therefore, the final equivalent logarithmic equation is:

-3.3 = ln(h)