Write the equation in exponential form. Assume that all constants are positive and not equal to 1 .

Question

Write the equation in exponential form. Assume that all constants are positive and not equal to 1 . $$ \log (q)=b $$

UpStudy AI · Accepted Answer

To convert the logarithmic equation $$ \log (q) = b $$ into exponential form, we follow the definition of logarithms. The equation states that $$ b $$ is the exponent to which the base (which is 10 in this case, since no base is specified) must be raised to produce $$ q $$.

The general form for converting a logarithmic equation $$ \log_b(a) = c $$ to exponential form is:

$$
a = b^c
$$

In this case, since the base is 10, we can rewrite the equation as:

$$
q = 10^b
$$

Thus, the exponential form of the equation $$ \log (q) = b $$ is:

$$
q = 10^b
$$
The exponential form of the equation $$ \log (q) = b $$ is $$ q = 10^b $$.

Write the equation in exponential form. Assume that all constants are positive and not equal to 1 .

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