What is the value of x in log2 x 4?

16
log2x = 4 simplified is x = 16.

What is logarithmic example?

logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.

How do you calculate log2?

Here it is always easier to find the value of log(2) to the base 10 and use it to find the value of the logarithm of 2 to any other bases. Using properties we can find the answer through calculations, close to the actual value. 10 *log(2) = log(1024). Since the base is also 10, we get log(2) = 3*0.1.

How do you solve X with logs?

Solve for X Using the Logarithmic Product Rule Know the product rule. The first property of logarithms, known as the “product rule,” states that the logarithm of a multiplied product equals the sum of the logarithms of both factors. Isolate the logarithm to one side of the equation.

How to solve logarithmic equations?

– 1. To solve a logarithmic equation, rewrite the equation in exponential form and solve for the variable. – Example 1: Solve for x in the equation Ln ( x )=8. – Check: Step 1: Let both sides be exponents of the base e. The equation Ln ( x )=8 can be rewritten . – Example 2: You can check your answer in two ways. You could graph the function Ln ( x )-8 and see where it crosses the x-axis. – Check: Solve for x in the equation 7 Log (3 x )=15. – Example 3: Step 1: Isolate the logarithmic term before you convert the logarithmic equation to an exponential equation. – Check: If you choose graphing, the x-intercept should be the same as the answer you derived ( ). – If you would like to review another example, click on Example. – Work the following problems. If you wish to review the answer and the solution, click on Answer. – Problem 1: If it is, you have worked the problem correctly. – Problem 2: – Problem 3: – Problem 4: – Problem 5: – Problem 6: – Answer

How to evaluate logarithms?

Press[LN].

What is the formula for log?

Logs are described symbolically by the equation log(b)(y) = x. This is generally pronounced “log base b of y is x.” It is equivalent to the exponential equation y = b^x, in which “b” represents the base number and “x” represents the exponent. In any logarithm, the base, b, must be greater than zero and cannot equal one.