Question

lesson 26 - solving logarithmic equations
score: 10/100 answered: 2/20
question 3
solve.
\\(\log_{2}(b) = 7\\)
\\(b = \\)
question help: video message instructor

Explanation:

Step1: Recall logarithm definition

The logarithmic equation $\log_{a}(x) = y$ is equivalent to $x = a^{y}$ in exponential form.

Step2: Apply to given equation

For $\log_{2}(b) = 7$, using the definition, we rewrite it as $b = 2^{7}$.

Step3: Calculate $2^{7}$

$2^{7}=2\times2\times2\times2\times2\times2\times2 = 128$.

Answer:

$128$