Question

Решить параметром a^x=4

Answer 1

Ответ:

Пошаговое объяснение:

a > 0 , a ≠ 1

x = log по основанию a  от 4

Answer 2

To solve the equation $a^x = 4$, where $a$ is a constant and $x$ is the variable, we need to find the value of $x$ in terms of $a$.

To do this, take the logarithm of both sides of the equation. The logarithm base is not specified, so we'll use the natural logarithm (base $e$) for convenience, but you can use any logarithm base you prefer:

$\ln(a^x) = \ln(4)$

Now, use the logarithm property $\ln(a^b) = b \ln(a)$:

$x \ln(a) = \ln(4)$

Next, isolate $x$ by dividing both sides by $\ln(a)$:

$x = \frac{\ln(4)}{\ln(a)}$

So the solution for $x$ in terms of $a$ is:

$x = \frac{\ln(4)}{\ln(a)}$

If you want to find the numerical value of $x$ for a specific value of $a$, you can use a calculator to evaluate the expression.