Mister Exam

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Inequation:
tg3x-sqrt3>=0
log(3*x+2*sqrt(x)-1)*1/(log(5*x+3*sqrt(x)-2)^5)>=log(11)*1/log(32)*1/(log(11)*1/log(2))
log2(x^2+3x)<=2
x⁴>256
Identical expressions
log(three *x+ two *sqrt(x)- one)* one /(log(five *x+ three *sqrt(x)- two)^ five)>=log(eleven)* one /log(thirty-two)* one /(log(eleven)* one /log(two))
logarithm of (3 multiply by x plus 2 multiply by square root of (x) minus 1) multiply by 1 divide by ( logarithm of (5 multiply by x plus 3 multiply by square root of (x) minus 2) to the power of 5) greater than or equal to logarithm of (11) multiply by 1 divide by logarithm of (32) multiply by 1 divide by ( logarithm of (11) multiply by 1 divide by logarithm of (2))
logarithm of (three multiply by x plus two multiply by square root of (x) minus one) multiply by one divide by ( logarithm of (five multiply by x plus three multiply by square root of (x) minus two) to the power of five) greater than or equal to logarithm of (eleven) multiply by one divide by logarithm of (thirty minus two) multiply by one divide by ( logarithm of (eleven) multiply by one divide by logarithm of (two))
log(3*x+2*√(x)-1)*1/(log(5*x+3*√(x)-2)^5)>=log(11)*1/log(32)*1/(log(11)*1/log(2))
log(3*x+2*sqrt(x)-1)*1/(log(5*x+3*sqrt(x)-2)5)>=log(11)*1/log(32)*1/(log(11)*1/log(2))
log3*x+2*sqrtx-1*1/log5*x+3*sqrtx-25>=log11*1/log32*1/log11*1/log2
log(3*x+2*sqrt(x)-1)*1/(log(5*x+3*sqrt(x)-2)⁵)>=log(11)*1/log(32)*1/(log(11)*1/log(2))
log(3x+2sqrt(x)-1)1/(log(5x+3sqrt(x)-2)^5)>=log(11)1/log(32)1/(log(11)1/log(2))
log(3x+2sqrt(x)-1)1/(log(5x+3sqrt(x)-2)5)>=log(11)1/log(32)1/(log(11)1/log(2))
log3x+2sqrtx-11/log5x+3sqrtx-25>=log111/log321/log111/log2
log3x+2sqrtx-11/log5x+3sqrtx-2^5>=log111/log321/log111/log2
log(3*x+2*sqrt(x)-1)*1 divide by (log(5*x+3*sqrt(x)-2)^5)>=log(11)*1 divide by log(32)*1 divide by (log(11)*1 divide by log(2))
Similar expressions
log(3*x-2*sqrt(x)-1)*1/(log(5*x+3*sqrt(x)-2)^5)>=log(11)*1/log(32)*1/(log(11)*1/log(2))
log(3*x+2*sqrt(x)-1)*1/(log(5*x+3*sqrt(x)+2)^5)>=log(11)*1/log(32)*1/(log(11)*1/log(2))
log(3*x+2*sqrt(x)+1)*1/(log(5*x+3*sqrt(x)-2)^5)>=log(11)*1/log(32)*1/(log(11)*1/log(2))
log(3*x+2*sqrt(x)-1)*1/(log(5*x-3*sqrt(x)-2)^5)>=log(11)*1/log(32)*1/(log(11)*1/log(2))

Solving inequalities/ log(3*x+2*sqrt(x)-1)*1/(log(5*x+3*sqrt(x)-2)^5)>=log(11)*1/log(32)*1/(log(11)*1/log(2))

log(3x+2sqrt(x)-1)1/(log(5x+3sqrt(x)-2)^5)>=log(11)1/log(32)1/(log(11)1/log(2)) inequation

The solution

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                           /log(11)\
    /          ___    \    |-------|
 log\3*x + 2*\/ x  - 1/    \log(32)/
----------------------- >= ---------
   5/          ___    \    /log(11)\
log \5*x + 3*\/ x  - 2/    |-------|
                           \ log(2)/

$$\frac{\log{\left(\left(2 \sqrt{x} + 3 x\right) - 1 \right)}}{\log{\left(\left(3 \sqrt{x} + 5 x\right) - 2 \right)}^{5}} \geq \frac{\log{\left(11 \right)} \frac{1}{\log{\left(32 \right)}}}{\frac{1}{\log{\left(2 \right)}} \log{\left(11 \right)}}$$

log(2*sqrt(x) + 3*x - 1)/log(3*sqrt(x) + 5*x - 2)^5 >= (log(11)/log(32))/((log(11)/log(2)))

Solving inequality on a graph

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Identical expressions

Similar expressions

log(3*x+2*sqrt(x)-1)*1/(log(5*x+3*sqrt(x)-2)^5)>=log(11)*1/log(32)*1/(log(11)*1/log(2)) inequation

The solution

log(3x+2sqrt(x)-1)1/(log(5x+3sqrt(x)-2)^5)>=log(11)1/log(32)1/(log(11)1/log(2)) inequation