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4 = 2²

→ 4^x = 2^(2x)

We want 4^x > w

Taking logs gives:

x log 4 > log w

→ x > log w / log 4

This can be solved to find a value of x by using logs to any base (the same base for each log).

Note that as w become less positive the value of x decreases at a much faster rate.

As w tends towards 0+, x will become more and more negative.

If w is negative, log w does not exist and all values of x will solve the problem - this is obvious as 4 (and 2) to all powers are positive which are all greater than a negative number.

If you require an integer solution to the problem, then the set of solutions starts with the first integer that is greater than x and continues with each next integer higher.

Examples:

- w = 40

- w = 64

Q: What example is there for when a power of 2 is equal to a power of 4 and greater than the number W?

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No. A negative integer raised to the third power will yield a negative number that is less than the integer. Only whole numbers (positive integers greater than or equal to 1) have the property where that integer raised to the third power is greater than or equal to the integer.

It could be a number in scientific notation or standard form as for example 12,000,000 = 1.2*107

the answer will be equal to 1,irrespective of of the base value.In other words anything to the power 0 is equal to 1.

The power represents how many times the value is multiplied by itself. For example: 2 to the power of 3 = 2 x 2 x 2 = 8 As you can see, if there was only one power it would equal the original number.

Its Where A number to the " 0 " power equals 1. For example : 5 to the power of 0 = 1 The number ( any number ) will always equal 1 if the power is 0

Related questions

Any number to the power zero is equal to 1. However, 00 is not defined.

No. A negative integer raised to the third power will yield a negative number that is less than the integer. Only whole numbers (positive integers greater than or equal to 1) have the property where that integer raised to the third power is greater than or equal to the integer.

It could be a number in scientific notation or standard form as for example 12,000,000 = 1.2*107

A positive number, raised to any power, is positive.

the answer will be equal to 1,irrespective of of the base value.In other words anything to the power 0 is equal to 1.

The power represents how many times the value is multiplied by itself. For example: 2 to the power of 3 = 2 x 2 x 2 = 8 As you can see, if there was only one power it would equal the original number.

Its Where A number to the " 0 " power equals 1. For example : 5 to the power of 0 = 1 The number ( any number ) will always equal 1 if the power is 0

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What is the question for this situation

If you mean "greater than", you can raise it to a higher power.

They are equal 2^4 and 4^2 both equal 16.

Any number raised to the power of 1 is equal to itself.