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Use logarithms to solve 9^x=15

According to the rules of logarithms, when you take a log of something to the power of something, you multiply the log of the base by the power, so in this case, taking logs of both sides would give us...

Answered by Molly B. • Maths tutor

7199 Views

Solve 7(k-3)=3k-5

First we need to multiply out the bracket

7k-21=3k-5

Then we must make sure our variable is only on one side so we need to deduct 3k from both sides

4k-21=-5

Answered by Molly B. • Maths tutor

15050 Views

Solve the inequality 6y+5>8?

First think how you would solve this if it was simply an '=' sign instead of a >

Deduct 5 from both sides

This would give us 6y>3

Answered by Molly B. • Maths tutor

13114 Views

Solve the equations giving your answer in 2d.p (5 Marks).: x^2 + y^2 = 36 , x = 2y + 6

x² + y² = 36 (1)

x = 2y + 6 (2)

You can solve simulateous equations in three ways: Substitution, addition or subtraction. If one equatio...

Answered by Joseph P. • Maths tutor

14989 Views

Take the square root of 2i

As with much of complex number the trick here is to change forms to polar representation.If you think of an argand diagram the number i will be represented as a point straight up on the imaginary...

Answered by Simon T. • Maths tutor

7487 Views