Scelta multipla
Solve the exponential equation.
419
views
3
rank
6. Exponential and Logarithmic Functions
Solving Exponential and Logarithmic Equations
Scelta multipla
Solve the logarithmic equation.
A
3
B
19.17
C
6
D
No Solution
Guida verificata passo dopo passo1
Start by understanding the given equation: \( \log_7(6x+13) = 2 \). This means that the logarithm of \( 6x+13 \) with base 7 is equal to 2.
Recall the definition of a logarithm: \( \log_b(a) = c \) implies \( b^c = a \). Apply this to the equation: \( 7^2 = 6x + 13 \).
Calculate \( 7^2 \), which is 49. So, the equation becomes \( 49 = 6x + 13 \).
To solve for \( x \), first isolate \( 6x \) by subtracting 13 from both sides: \( 49 - 13 = 6x \).
Simplify the equation: \( 36 = 6x \). Finally, divide both sides by 6 to solve for \( x \): \( x = \frac{36}{6} \).
Video correlati
Pratica correlata
