Maths problem

[dusty2]

a^2 + a^x = a^10

a^x = a^10 - a^2

a^x = a^2(a^8 - 1)

ln|a^2| = ln|a^2(a^8 - 1)|

xln|a| = ln|a^2(a^8 - 1)|

xln|a| = ln|a^2| + ln|(a^8 - 1)|

xln|a| = 2ln|a| + ln|(a^8 - 1)|

x = {2ln|a| + ln|(a^8 - 1)|}/ln|a|

 

[HarshaX]

 

[sahani_000]

'x' has no solution. It depends on the value of 'a'.

and if a=1, the x cannot be found.

1^2 + 1^x = 1^10
1 + 1^x = 1
Hence 1^x = 0
This means x cannot be found