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The solution of the equation (log)7(log)...

The solution of the equation `(log)_7(log)_5(sqrt(x+5)+sqrt(x)=0` is...

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`log_7 (log_5 (sqrt(x+5)+sqrtx))=0`
`log_5(sqrt(x+5)+sqrtx))=7^0=1`
`sqrt(x+5)+sqrtx=5^1=5`
Squaring both sides
`x+5+x+2sqrtxsqrt(x+5)=25`
`2sqrtxsqrt(x+5)=25-5-2x`
`2sqrtxsqrt(x+5)=20-2x=2(10-x)`
`sqrtxsqrt(x+5)=10-x`
...
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  14. Find the number of solutions of equation 2^x+3^x+4^x-5^x=0

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  16. Solve (log)x2(log)(2x)2=(log)(4x)2.

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  18. Solve sqrt("log"(-x))=logsqrt("x"^2) (base is 10).

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  20. If (log)(10)[1/(2^x+x-1)]=x[(log)(10)5-1] , then x= 4 (b) 3 (c) 2 ...

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