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How would I solve the equation 25^x = 5^(4x+1)?

You would have to rewrite 25 as 5^2 hence 25^x = (5^2)^x = 5^(2*x).

Then 5^(2x) = 5^(4x+1) and therefore 2x = 4x + 1 hence 2x = -1 hence x = -1 / 2.

Answered by Marius P. • Maths tutor

8384 Views

A windowless room contains 3 light bulbs, each connected to a switch outside the room. You can flip any of the switches in any order. You can then enter and look at the lights, but not touch the switches again. Which switch controls which light?

Flip on switches 1 & 2, wait a moment and switch off number 2. Enter the room. Whichever bulb is on is wired to switch 1, whichever is off and hot is wired to switch number 2, and the third is wired t...

Answered by Emily F. • Oxbridge Preparation tutor

3864 Views

How do you successfully quote within an essay?

When choosing what quotations to apply to an argument, it is important to consider what is directly relevant. For example, if the question asks about the effect of a character's appearance on the reader, ...

Answered by Lena B. • English Literature tutor

3898 Views

State the difference between a malignant and benign tumor is and describe how tumors form

Malignant tumors are cancerous, harmful tumors whereas benign are non-cancerous. Tumors are caused by a mutation which causes uncontrolled cell division.

Answered by Esther W. • Biology tutor

5037 Views

Emma has a digital photo. The photo has width 960 pixels and height 720 pixels. Write down the ratio of the width of the photo to the height of the photo. Give the ratio in its simplest form.

4:3 Working: 960:720 (divide by 10) 96:72 (divide by 8 as 8 is common multiple of both 96 and 72 (should know this from times tables)) 12:9 (divide by 3) 4:3 simplifying slowly and in small steps r...

Answered by Alexandra D. • Maths tutor

6025 Views