Write the exponential equation in logarithmic form. For example, the logarithmic form of $$ 2^{3}=8 $$ is $$ \log _{2}(8)=3 $$. $$ \begin{array}{l}32^{2 / 5}=4 \ \text { Need Help? } \text { Read It } \text { Watch it }\end{array} $$

Question

UpStudy AI · Accepted Answer

To convert the exponential equation $$ 32^{\frac{2}{5}} = 4 $$ into its logarithmic form, you can follow the example provided:

**Exponential Form:**
$$ 32^{\frac{2}{5}} = 4 $$

**Logarithmic Form:**
$$ \log_{32}(4) = \frac{2}{5} $$

**Explanation:**
- The base of the exponent (32) becomes the base of the logarithm.
- The result of the exponentiation (4) becomes the argument of the logarithm.
- The exponent itself ($$\frac{2}{5}$$) becomes the value of the logarithm.

So, the logarithmic form is:
$$ \log_{32}(4) = \frac{2}{5} $$
The logarithmic form of $$ 32^{\frac{2}{5}} = 4 $$ is $$ \log_{32}(4) = \frac{2}{5} $$.

Write the exponential equation in logarithmic form. For example, the logarithmic form of is .

Solución de inteligencia artificial de Upstudy

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Algebra Questions