Mister Exam

Other calculators

log7(3x-2)=log7(5-x) equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
log(3*x - 2)   log(5 - x)
------------ = ----------
   log(7)        log(7)  
$$\frac{\log{\left(3 x - 2 \right)}}{\log{\left(7 \right)}} = \frac{\log{\left(5 - x \right)}}{\log{\left(7 \right)}}$$
The graph
Sum and product of roots [src]
sum
7/4
$$\frac{7}{4}$$
=
7/4
$$\frac{7}{4}$$
product
7/4
$$\frac{7}{4}$$
=
7/4
$$\frac{7}{4}$$
7/4
Rapid solution [src]
x1 = 7/4
$$x_{1} = \frac{7}{4}$$
x1 = 7/4
Numerical answer [src]
x1 = 1.75
x1 = 1.75