We propose an image encryption technique for color images by using conventional logarithms operator, chaotic map and 4-weighted fractional Fourier transform (4-WFRFT). The color image to be encrypted is initially separated into its primary color channels, red, green, and blue; each channel is concealed inside the same random mask by using the base-changing axiom of logarithms. Subsequently, each logarithmic-concealed channel is encrypted independently by using double random 4-WFRFT plane encoding technique. This technique utilizes two random phase mask that are developed by using a chaotic map. The parameters of RPMs and transform orders of 4-WFRFT utilized in each logarithm channel are considered as secret keys for encryption/decryption process. The robustness of the proposed technique is analyzed and discussed by presenting the experimental results.