Thread: indices - help!

I have many questions that I need help with.

1. Express 27 (to the power of x) in the form 3 (to the power of ax) where a is an integer to be found.

1(ii). hence solve the equation 3 (to the power of x²) = 27 (to the power of x)

2. √90 in the form a√10 where a is an integer

2(ii). Express (5-2 √3) ² in the form b+c√3 where b and c are integers

3(i). Express 15/2-√2 in the form p+q√2

3(ii). Express √8+√2 / √8-√2 as a single fraction

Originally Posted by notepad

I have many questions that I need help with.

1. Express 27 (to the power of x) in the form 3 (to the power of ax) where a is an integer to be found.

1(ii). hence solve the equation 3 (to the power of x²) = 27 (to the power of x)

I'll try to interpret what you want, but I'm afraid something's lost in the translation. You may want to try and restate this one.

Originally Posted by notepad

2. √90 in the form a√10 where a is an integer

Originally Posted by notepad

2(ii). Express (5-2 √3) ² in the form b+c√3 where b and c are integers

Originally Posted by notepad

3(i). Express 15/2-√2 in the form p+q√2

Originally Posted by notepad

3(ii). Express √8+√2 / √8-√2 as a single fraction