Mister Exam

Other calculators


(5/3)^(x+1)=(9/25)^(x^2+2x-11)

(5/3)^(x+1)=(9/25)^(x^2+2x-11) 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]
                2           
   x + 1       x  + 2*x - 11
5/3      = 9/25             
$$\left(\frac{5}{3}\right)^{x + 1} = \left(\frac{9}{25}\right)^{x^{2} + 2 x - 11}$$
The graph
Numerical answer [src]
x1 = -69.0004578874233
x2 = -101.000457887423
x3 = -129.000457887423
x4 = -99.0004578874233
x5 = -75.0004578874233
x6 = -97.0004578874233
x7 = -4.72311099736245
x8 = -83.0004578874233
x9 = -89.0004578874233
x10 = -107.000457887423
x11 = -105.000457887423
x12 = -109.000457887423
x13 = -65.0004578874233
x14 = -115.000457887423
x15 = -131.000457887423
x16 = -117.000457887423
x17 = -85.0004578874233
x18 = 2.22311099736245
x19 = -125.000457887423
x20 = -123.000457887423
x21 = -127.000457887423
x22 = -139.000457887423
x23 = -111.000457887423
x24 = -133.000457887423
x25 = -87.0004578874233
x26 = -81.0004578874233
x27 = -119.000457887423
x28 = -63.0004578874233
x29 = -93.0004578874233
x30 = -135.000457887423
x31 = -121.000457887423
x32 = -59.0004578874233
x33 = -113.000457887423
x34 = -91.0004578874233
x35 = -73.0004578874233
x36 = -141.000457887423
x37 = -137.000457887423
x38 = -55.0004578874233
x39 = -61.0004578874233
x40 = -67.0004578874233
x41 = -77.0004578874233
x42 = -103.000457887423
x43 = -57.0004578874233
x44 = -79.0004578874233
x45 = -95.0004578874233
x46 = -71.0004578874233
x46 = -71.0004578874233
The graph
(5/3)^(x+1)=(9/25)^(x^2+2x-11) equation