Question

Which graph shows the solution to the equation below log3x=log0.5x

Answer 1

Answer:

I believe its A

Step-by-step explanation:

Answer 2

Answer:

Graph in attachment.

Step-by-step explanation:

Graph the equation, $\log_3x=\log_{0.5}x$

First we make system of equation and then draw the graph of both function.

• First function, $y_1=\log_3x$

• Second function, $y_2=\log_{0.5}x$

Graph of first function:

Take some random value of x

x :  0.5       1       1.5        2       2.5      3

y₁: -0.6      0      0.4      0.6      0.8      1

y₂:     1       0     -0.6      -1        -1.3     -1.6

Now plot the point of table on same coordinate plane and connect the point by curve line.

Please find the attachment for graph.

Blue line graph for y₂

Red line graph for y₁

Solution of the equation is intersection of the both graph.

Solution: (1,0)