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  • Inequation:
  • xy>-4
  • 3*(x-5)>7x
  • (ax+12)/x>=-6
  • 7x-sqr(x)<0

  • Identical expressions

  • log(five ^(two *x+ one)/log(five))*(log(ten)/log(five))<log((two *x- one)/(four ^x)-(one / ten))/log(five)
  • logarithm of (5 to the power of (2 multiply by x plus 1) divide by logarithm of (5)) multiply by ( logarithm of (10) divide by logarithm of (5)) less than logarithm of ((2 multiply by x minus 1) divide by (4 to the power of x) minus (1 divide by 10)) divide by logarithm of (5)
  • logarithm of (five to the power of (two multiply by x plus one) divide by logarithm of (five)) multiply by ( logarithm of (ten) divide by logarithm of (five)) less than logarithm of ((two multiply by x minus one) divide by (four to the power of x) minus (one divide by ten)) divide by logarithm of (five)
  • log(5(2*x+1)/log(5))*(log(10)/log(5))<log((2*x-1)/(4x)-(1/10))/log(5)
  • log52*x+1/log5*log10/log5<log2*x-1/4x-1/10/log5
  • log(5^(2x+1)/log(5))(log(10)/log(5))<log((2x-1)/(4^x)-(1/10))/log(5)
  • log(5(2x+1)/log(5))(log(10)/log(5))<log((2x-1)/(4x)-(1/10))/log(5)
  • log52x+1/log5log10/log5<log2x-1/4x-1/10/log5
  • log5^2x+1/log5log10/log5<log2x-1/4^x-1/10/log5
  • log(5^(2*x+1) divide by log(5))*(log(10) divide by log(5))<log((2*x-1) divide by (4^x)-(1 divide by 10)) divide by log(5)

  • Similar expressions

  • log(5^(2*x+1)/log(5))*(log(10)/log(5))<log((2*x+1)/(4^x)-(1/10))/log(5)
  • log(5^(2*x+1)/log(5))*(log(10)/log(5))<log((2*x-1)/(4^x)+(1/10))/log(5)
  • log(5^(2*x-1)/log(5))*(log(10)/log(5))<log((2*x-1)/(4^x)-(1/10))/log(5)
Solving inequalities/ log(5^(2*x+1)/log(5))*(log(10)/log(5))

log(5^(2*x+1)/log(5))*(log(10)/log(5))
A inequation with variable

The solution

You have entered [src] 
                           /2*x - 1   1 \
                        log|------- - --|
   / 2*x + 1\              |    x     10|
   |5       | log(10)      \   4        /
log|--------|*------- < -----------------
   \ log(5) /  log(5)         log(5)
$$\frac{\log{\left(10 \right)}}{\log{\left(5 \right)}} \log{\left(\frac{5^{2 x + 1}}{\log{\left(5 \right)}} \right)} < \frac{\log{\left(- \frac{1}{10} + \frac{2 x - 1}{4^{x}} \right)}}{\log{\left(5 \right)}}$$ 
(log(10)/log(5))*log(5^(2*x + 1)/log(5)) < log(-1/10 + (2*x - 1)/4^x)/log(5)
Solving inequality on a graph

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